Update
Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है • Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है • Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है
Subjects List

Class 9 Mathematics - Number Systems - Exponents Expert Quiz

Topic Quiz • 150 questions • 25 seconds per question.

Topic question bank 150 Questions
Time Left 02:30 25 sec/question
RewardsCoins + XP
ModeClassic Quiz
Share
Question 1 / 150 0 score
Answered 0/150 Correct 0 Time 02:30

\(2^8 \times 2^5 \div 2^9\) का मान क्या है?

What is the value of \(2^8 \times 2^5 \div 2^9\)?

Explanation opens after your attempt
Correct Answer

A. 16

Step 1

Concept

Adding and subtracting exponents gives \(2^4\). Remember the law.

Step 2

Why this answer is correct

The correct answer is A. 16. Adding and subtracting exponents gives \(2^4\). Remember the law.

Step 3

Exam Tip

घातों को जोड़कर और घटाकर \(2^4\) मिलता है। नियम याद रखें।

Open Question Page
Ask Friends

\(2^{12}\div2^8\) का मान क्या है?

What is the value of \(2^{12}\div2^8\)?

Explanation opens after your attempt
Correct Answer

A. 16

Step 1

Concept

\(2^{12-8}=2^4\). Use the quotient rule.

Step 2

Why this answer is correct

The correct answer is A. 16. \(2^{12-8}=2^4\). Use the quotient rule.

Step 3

Exam Tip

\(2^{12-8}=2^4\)। घातों के भाग का नियम प्रयोग करें।

Open Question Page
Ask Friends

(\(3^2\)4 \div 35) का मान क्या है?

What is the value of (\(3^2\)4 \div 35)?

Explanation opens after your attempt
Correct Answer

B. 27

Step 1

Concept

\(3^8 \div 3^5=3^3\). Apply exponent laws.

Step 2

Why this answer is correct

The correct answer is B. 27. \(3^8 \div 3^5=3^3\). Apply exponent laws.

Step 3

Exam Tip

\(3^8 \div 3^5=3^3\)। घातों के नियम लागू करें।

Open Question Page
Ask Friends

\(5^6 \div 25^2\) का मान क्या है?

What is the value of \(5^6 \div 25^2\)?

Explanation opens after your attempt
Correct Answer

C. 25

Step 1

Concept

(252=\(5^2\)2=54). Hence \(5^2=25\).

Step 2

Why this answer is correct

The correct answer is C. 25. (252=\(5^2\)2=54). Hence \(5^2=25\).

Step 3

Exam Tip

(252=\(5^2\)2=54)। इसलिए \(5^2=25\)।

Open Question Page
Ask Friends

\(4^5 \div 2^8\) का मान क्या है?

What is the value of \(4^5 \div 2^8\)?

Explanation opens after your attempt
Correct Answer

D. 4

Step 1

Concept

(45=\(2^2\)5=2^{10}). Then \(2^{10}\div2^8=2^2\).

Step 2

Why this answer is correct

The correct answer is D. 4. (45=\(2^2\)5=2^{10}). Then \(2^{10}\div2^8=2^2\).

Step 3

Exam Tip

(45=\(2^2\)5=2^{10})। \(2^{10}\div2^8=2^2\)।

Open Question Page
Ask Friends

\(9^3 \div 3^4\) का मान क्या है?

What is the value of \(9^3 \div 3^4\)?

Explanation opens after your attempt
Correct Answer

A. 9

Step 1

Concept

(93=\(3^2\)3=36). Then \(3^6\div3^4=3^2\).

Step 2

Why this answer is correct

The correct answer is A. 9. (93=\(3^2\)3=36). Then \(3^6\div3^4=3^2\).

Step 3

Exam Tip

(93=\(3^2\)3=36)। \(3^6\div3^4=3^2\)।

Open Question Page
Ask Friends

\(10^4\div10^2\) का मान क्या है?

What is the value of \(10^4\div10^2\)?

Explanation opens after your attempt
Correct Answer

A. 100

Step 1

Concept

\(10^{4-2}=10^2\).

Step 2

Why this answer is correct

The correct answer is A. 100. \(10^{4-2}=10^2\).

Step 3

Exam Tip

\(10^{4-2}=10^2\)।

Open Question Page
Ask Friends

(\(2^3 \times 5^3\)\div102) का मान क्या है?

What is the value of (\(2^3 \times 5^3\)\div102)?

Explanation opens after your attempt
Correct Answer

B. 10

Step 1

Concept

\(2^3 \times 5^3=10^3\). Then \(10^3\div10^2=10\).

Step 2

Why this answer is correct

The correct answer is B. 10. \(2^3 \times 5^3=10^3\). Then \(10^3\div10^2=10\).

Step 3

Exam Tip

\(2^3 \times 5^3=10^3\)। \(10^3\div10^2=10\)।

Open Question Page
Ask Friends

\(2^5\times2^4\div2^6\) का मान क्या है?

What is the value of \(2^5\times2^4\div2^6\)?

Explanation opens after your attempt
Correct Answer

B. 8

Step 1

Concept

\(2^{5+4-6}=2^3\).

Step 2

Why this answer is correct

The correct answer is B. 8. \(2^{5+4-6}=2^3\).

Step 3

Exam Tip

\(2^{5+4-6}=2^3\)।

Open Question Page
Ask Friends

(\(7^2\)2 \div 72) का मान क्या है?

What is the value of (\(7^2\)2 \div 72)?

Explanation opens after your attempt
Correct Answer

C. 343

Step 1

Concept

\(7^4\div7^2=7^2=49\). Check the correct option.

Step 2

Why this answer is correct

The correct answer is C. 343. \(7^4\div7^2=7^2=49\). Check the correct option.

Step 3

Exam Tip

\(7^4\div7^2=7^2=49\)। सही विकल्प देखें।

Open Question Page
Ask Friends

\(8^2 \times 2^3 \div 4^2\) का मान क्या है?

What is the value of \(8^2 \times 2^3 \div 4^2\)?

Explanation opens after your attempt
Correct Answer

D. 32

Step 1

Concept

\(2^6\times2^3\div2^4=2^5\).

Step 2

Why this answer is correct

The correct answer is D. 32. \(2^6\times2^3\div2^4=2^5\).

Step 3

Exam Tip

\(2^6\times2^3\div2^4=2^5\)।

Open Question Page
Ask Friends

\(9^2-5^2\) का मान क्या है?

What is the value of \(9^2-5^2\)?

Explanation opens after your attempt
Correct Answer

D. 56

Step 1

Concept

(81-25=56).

Step 2

Why this answer is correct

The correct answer is D. 56. (81-25=56).

Step 3

Exam Tip

(81-25=56)।

Open Question Page
Ask Friends

यदि \(x=2^4\) तो \(x^2\div2^5\) का मान क्या है?

If \(x=2^4\), what is \(x^2\div2^5\)?

Explanation opens after your attempt
Correct Answer

A. 8

Step 1

Concept

\(x^2=2^8\). Then \(2^8\div2^5=2^3\).

Step 2

Why this answer is correct

The correct answer is A. 8. \(x^2=2^8\). Then \(2^8\div2^5=2^3\).

Step 3

Exam Tip

\(x^2=2^8\)। \(2^8\div2^5=2^3\)।

Open Question Page
Ask Friends

\(8^2\div2^4\) का मान क्या है?

What is the value of \(8^2\div2^4\)?

Explanation opens after your attempt
Correct Answer

A. 4

Step 1

Concept

\(8^2=2^6\). \(2^6\div2^4=2^2\).

Step 2

Why this answer is correct

The correct answer is A. 4. \(8^2=2^6\). \(2^6\div2^4=2^2\).

Step 3

Exam Tip

\(8^2=2^6\)। \(2^6\div2^4=2^2\)।

Open Question Page
Ask Friends

\(6^3 \times 6^2 \div 6^4\) का मान क्या है?

What is the value of \(6^3 \times 6^2 \div 6^4\)?

Explanation opens after your attempt
Correct Answer

B. 6

Step 1

Concept

\(6^{3+2-4}=6^1\).

Step 2

Why this answer is correct

The correct answer is B. 6. \(6^{3+2-4}=6^1\).

Step 3

Exam Tip

\(6^{3+2-4}=6^1\)।

Open Question Page
Ask Friends

(\(3^3\)2\div34) का मान क्या है?

What is the value of (\(3^3\)2\div34)?

Explanation opens after your attempt
Correct Answer

B. 9

Step 1

Concept

\(3^6\div3^4=3^2\).

Step 2

Why this answer is correct

The correct answer is B. 9. \(3^6\div3^4=3^2\).

Step 3

Exam Tip

\(3^6\div3^4=3^2\)।

Open Question Page
Ask Friends

\(6^3\div6\) का मान क्या है?

What is the value of \(6^3\div6\)?

Explanation opens after your attempt
Correct Answer

C. 36

Step 1

Concept

\(6^{3-1}=6^2=36\).

Step 2

Why this answer is correct

The correct answer is C. 36. \(6^{3-1}=6^2=36\).

Step 3

Exam Tip

\(6^{3-1}=6^2=36\)।

Open Question Page
Ask Friends

(2^{10}\div\(2^3\)2) का मान क्या है?

What is the value of (2^{10}\div\(2^3\)2)?

Explanation opens after your attempt
Correct Answer

D. 16

Step 1

Concept

\(2^{10}\div2^6=2^4\).

Step 2

Why this answer is correct

The correct answer is D. 16. \(2^{10}\div2^6=2^4\).

Step 3

Exam Tip

\(2^{10}\div2^6=2^4\)।

Open Question Page
Ask Friends

\(25^2\div5^3\) का मान क्या है?

What is the value of \(25^2\div5^3\)?

Explanation opens after your attempt
Correct Answer

D. 25

Step 1

Concept

\(25^2=5^4\). \(5^4\div5^3=5\).

Step 2

Why this answer is correct

The correct answer is D. 25. \(25^2=5^4\). \(5^4\div5^3=5\).

Step 3

Exam Tip

\(25^2=5^4\)। \(5^4\div5^3=5\)।

Open Question Page
Ask Friends

\(125^2 \div 5^4\) का मान क्या है?

What is the value of \(125^2 \div 5^4\)?

Explanation opens after your attempt
Correct Answer

A. 25

Step 1

Concept

\(125=5^3\). Then \(5^6\div5^4=5^2\).

Step 2

Why this answer is correct

The correct answer is A. 25. \(125=5^3\). Then \(5^6\div5^4=5^2\).

Step 3

Exam Tip

\(125=5^3\)। \(5^6\div5^4=5^2\)।

Open Question Page
Ask Friends

(\(4^3\)2 \div 162) का मान क्या है?

What is the value of (\(4^3\)2 \div 162)?

Explanation opens after your attempt
Correct Answer

B. 16

Step 1

Concept

(46\div\(4^2\)2=42).

Step 2

Why this answer is correct

The correct answer is B. 16. (46\div\(4^2\)2=42).

Step 3

Exam Tip

(46\div\(4^2\)2=42)।

Open Question Page
Ask Friends

\(11^2+4^3\) का मान क्या है?

What is the value of \(11^2+4^3\)?

Explanation opens after your attempt
Correct Answer

B. 185

Step 1

Concept

(121+64=185).

Step 2

Why this answer is correct

The correct answer is B. 185. (121+64=185).

Step 3

Exam Tip

(121+64=185)।

Open Question Page
Ask Friends

\(3^5+2^7\) का मान क्या है?

What is the value of \(3^5+2^7\)?

Explanation opens after your attempt
Correct Answer

C. 371

Step 1

Concept

(243+128=371). Evaluate powers first.

Step 2

Why this answer is correct

The correct answer is C. 371. (243+128=371). Evaluate powers first.

Step 3

Exam Tip

(243+128=371)। पहले घात निकालें।

Open Question Page
Ask Friends

\(2^{10}\div32\) का मान क्या है?

What is the value of \(2^{10}\div32\)?

Explanation opens after your attempt
Correct Answer

C. 32

Step 1

Concept

\(32=2^5\). \(2^{10}\div2^5=2^5\).

Step 2

Why this answer is correct

The correct answer is C. 32. \(32=2^5\). \(2^{10}\div2^5=2^5\).

Step 3

Exam Tip

\(32=2^5\)। \(2^{10}\div2^5=2^5\)।

Open Question Page
Ask Friends

\(13^2-12^2\) का मान क्या है?

What is the value of \(13^2-12^2\)?

Explanation opens after your attempt
Correct Answer

D. 25

Step 1

Concept

(169-144=25).

Step 2

Why this answer is correct

The correct answer is D. 25. (169-144=25).

Step 3

Exam Tip

(169-144=25)।

Open Question Page
Ask Friends

(\(2^4\)2\div26) का मान क्या है?

What is the value of (\(2^4\)2\div26)?

Explanation opens after your attempt
Correct Answer

A. 4

Step 1

Concept

\(2^8\div2^6=2^2\).

Step 2

Why this answer is correct

The correct answer is A. 4. \(2^8\div2^6=2^2\).

Step 3

Exam Tip

\(2^8\div2^6=2^2\)।

Open Question Page
Ask Friends

\(3^4\times3^2\div3^5\) का मान क्या है?

What is the value of \(3^4\times3^2\div3^5\)?

Explanation opens after your attempt
Correct Answer

B. 3

Step 1

Concept

\(3^{4+2-5}=3\).

Step 2

Why this answer is correct

The correct answer is B. 3. \(3^{4+2-5}=3\).

Step 3

Exam Tip

\(3^{4+2-5}=3\)।

Open Question Page
Ask Friends

\(7^3\div7^2\) का मान क्या है?

What is the value of \(7^3\div7^2\)?

Explanation opens after your attempt
Correct Answer

D. 7

Step 1

Concept

\(7^{3-2}=7\).

Step 2

Why this answer is correct

The correct answer is D. 7. \(7^{3-2}=7\).

Step 3

Exam Tip

\(7^{3-2}=7\)।

Open Question Page
Ask Friends

\(16^2\div4^3\) का मान क्या है?

What is the value of \(16^2\div4^3\)?

Explanation opens after your attempt
Correct Answer

A. 4

Step 1

Concept

\(16^2=4^4\). \(4^4\div4^3=4\).

Step 2

Why this answer is correct

The correct answer is A. 4. \(16^2=4^4\). \(4^4\div4^3=4\).

Step 3

Exam Tip

\(16^2=4^4\)। \(4^4\div4^3=4\)।

Open Question Page
Ask Friends

\(2^6+3^4\) का मान क्या है?

What is the value of \(2^6+3^4\)?

Explanation opens after your attempt
Correct Answer

C. 145

Step 1

Concept

(64+81=145).

Step 2

Why this answer is correct

The correct answer is C. 145. (64+81=145).

Step 3

Exam Tip

(64+81=145)।

Open Question Page
Ask Friends

\(81\div3^3\) का मान क्या है?

What is the value of \(81\div3^3\)?

Explanation opens after your attempt
Correct Answer

D. 3

Step 1

Concept

\(81=3^4\). \(3^4\div3^3=3\).

Step 2

Why this answer is correct

The correct answer is D. 3. \(81=3^4\). \(3^4\div3^3=3\).

Step 3

Exam Tip

\(81=3^4\)। \(3^4\div3^3=3\)।

Open Question Page
Ask Friends

(\(10^2\)2\div103) का मान क्या है?

What is the value of (\(10^2\)2\div103)?

Explanation opens after your attempt
Correct Answer

A. 10

Step 1

Concept

\(10^4\div10^3=10\).

Step 2

Why this answer is correct

The correct answer is A. 10. \(10^4\div10^3=10\).

Step 3

Exam Tip

\(10^4\div10^3=10\)।

Open Question Page
Ask Friends

\(2^7\div2^2\) का मान क्या है?

What is the value of \(2^7\div2^2\)?

Explanation opens after your attempt
Correct Answer

C. 32

Step 1

Concept

\(2^{7-2}=2^5=32\).

Step 2

Why this answer is correct

The correct answer is C. 32. \(2^{7-2}=2^5=32\).

Step 3

Exam Tip

\(2^{7-2}=2^5=32\)।

Open Question Page
Ask Friends

(\(6^2\)2\div63) का मान क्या है?

What is the value of (\(6^2\)2\div63)?

Explanation opens after your attempt
Correct Answer

D. 36

Step 1

Concept

\(6^4\div6^3=6\).

Step 2

Why this answer is correct

The correct answer is D. 36. \(6^4\div6^3=6\).

Step 3

Exam Tip

\(6^4\div6^3=6\)।

Open Question Page
Ask Friends

\(3^5\div9^2\) का मान क्या है?

What is the value of \(3^5\div9^2\)?

Explanation opens after your attempt
Correct Answer

A. 3

Step 1

Concept

\(9^2=3^4\). \(3^5\div3^4=3\).

Step 2

Why this answer is correct

The correct answer is A. 3. \(9^2=3^4\). \(3^5\div3^4=3\).

Step 3

Exam Tip

\(9^2=3^4\)। \(3^5\div3^4=3\)।

Open Question Page
Ask Friends

\(4^4\div2^6\) का मान क्या है?

What is the value of \(4^4\div2^6\)?

Explanation opens after your attempt
Correct Answer

B. 4

Step 1

Concept

\(4^4=2^8\). \(2^8\div2^6=2^2\).

Step 2

Why this answer is correct

The correct answer is B. 4. \(4^4=2^8\). \(2^8\div2^6=2^2\).

Step 3

Exam Tip

\(4^4=2^8\)। \(2^8\div2^6=2^2\)।

Open Question Page
Ask Friends

\(15^2+2^4\) का मान क्या है?

What is the value of \(15^2+2^4\)?

Explanation opens after your attempt
Correct Answer

C. 241

Step 1

Concept

(225+16=241).

Step 2

Why this answer is correct

The correct answer is C. 241. (225+16=241).

Step 3

Exam Tip

(225+16=241)।

Open Question Page
Ask Friends

\(2^9\div2^7\) का मान क्या है?

What is the value of \(2^9\div2^7\)?

Explanation opens after your attempt
Correct Answer

D. 4

Step 1

Concept

\(2^{9-7}=2^2=4\).

Step 2

Why this answer is correct

The correct answer is D. 4. \(2^{9-7}=2^2=4\).

Step 3

Exam Tip

\(2^{9-7}=2^2=4\)।

Open Question Page
Ask Friends

(\(7^2\)3\div75) का मान क्या है?

What is the value of (\(7^2\)3\div75)?

Explanation opens after your attempt
Correct Answer

A. 7

Step 1

Concept

\(7^6\div7^5=7\).

Step 2

Why this answer is correct

The correct answer is A. 7. \(7^6\div7^5=7\).

Step 3

Exam Tip

\(7^6\div7^5=7\)।

Open Question Page
Ask Friends

\(18^2-17^2\) का मान क्या है?

What is the value of \(18^2-17^2\)?

Explanation opens after your attempt
Correct Answer

B. 35

Step 1

Concept

(324-289=35).

Step 2

Why this answer is correct

The correct answer is B. 35. (324-289=35).

Step 3

Exam Tip

(324-289=35)।

Open Question Page
Ask Friends

\(5^3+4^4\) का मान क्या है?

What is the value of \(5^3+4^4\)?

Explanation opens after your attempt
Correct Answer

C. 381

Step 1

Concept

(125+256=381).

Step 2

Why this answer is correct

The correct answer is C. 381. (125+256=381).

Step 3

Exam Tip

(125+256=381)।

Open Question Page
Ask Friends

\(2^5\times2^3\div2^4\) का मान क्या है?

What is the value of \(2^5\times2^3\div2^4\)?

Explanation opens after your attempt
Correct Answer

D. 16

Step 1

Concept

\(2^{5+3-4}=2^4=16\).

Step 2

Why this answer is correct

The correct answer is D. 16. \(2^{5+3-4}=2^4=16\).

Step 3

Exam Tip

\(2^{5+3-4}=2^4=16\)।

Open Question Page
Ask Friends

(\(8^2\times2^3\)\div27) का मान क्या है?

What is the value of (\(8^2\times2^3\)\div27)?

Explanation opens after your attempt
Correct Answer

C. 4

Step 1

Concept

\(8^2=2^6\). \(2^6\times2^3\div2^7=2^2=4\).

Step 2

Why this answer is correct

The correct answer is C. 4. \(8^2=2^6\). \(2^6\times2^3\div2^7=2^2=4\).

Step 3

Exam Tip

\(8^2=2^6\)। \(2^6\times2^3\div2^7=2^2=4\)।

Open Question Page
Ask Friends

\(11^2+6^3\) का मान क्या है?

What is the value of \(11^2+6^3\)?

Explanation opens after your attempt
Correct Answer

D. 337

Step 1

Concept

(121+216=337).

Step 2

Why this answer is correct

The correct answer is D. 337. (121+216=337).

Step 3

Exam Tip

(121+216=337)।

Open Question Page
Ask Friends

(2^{11}\div\(2^2\)4) का मान क्या है?

What is the value of (2^{11}\div\(2^2\)4)?

Explanation opens after your attempt
Correct Answer

A. 8

Step 1

Concept

(\(2^2\)4=28). \(2^{11}\div2^8=2^3=8\).

Step 2

Why this answer is correct

The correct answer is A. 8. (\(2^2\)4=28). \(2^{11}\div2^8=2^3=8\).

Step 3

Exam Tip

(\(2^2\)4=28)। \(2^{11}\div2^8=2^3=8\)।

Open Question Page
Ask Friends

\(49^2\div7^3\) का मान क्या है?

What is the value of \(49^2\div7^3\)?

Explanation opens after your attempt
Correct Answer

B. 7

Step 1

Concept

(492=\(7^2\)2=74). \(7^4\div7^3=7\).

Step 2

Why this answer is correct

The correct answer is B. 7. (492=\(7^2\)2=74). \(7^4\div7^3=7\).

Step 3

Exam Tip

(492=\(7^2\)2=74)। \(7^4\div7^3=7\)।

Open Question Page
Ask Friends

(\(3^4\times3^2\)\div92) का मान क्या है?

What is the value of (\(3^4\times3^2\)\div92)?

Explanation opens after your attempt
Correct Answer

C. 9

Step 1

Concept

\(3^6\div3^4=3^2=9\).

Step 2

Why this answer is correct

The correct answer is C. 9. \(3^6\div3^4=3^2=9\).

Step 3

Exam Tip

\(3^6\div3^4=3^2=9\)।

Open Question Page
Ask Friends

(\(5^3\)2\div252) का मान क्या है?

What is the value of (\(5^3\)2\div252)?

Explanation opens after your attempt
Correct Answer

A. 25

Step 1

Concept

\(5^6\div5^4=5^2=25\).

Step 2

Why this answer is correct

The correct answer is A. 25. \(5^6\div5^4=5^2=25\).

Step 3

Exam Tip

\(5^6\div5^4=5^2=25\)।

Open Question Page
Ask Friends

(\(12^2-5^2\)\div7) का मान क्या है?

What is the value of (\(12^2-5^2\)\div7)?

Explanation opens after your attempt
Correct Answer

C. 17

Step 1

Concept

(144-25=119) and \(119\div7=17\). Evaluate powers first.

Step 2

Why this answer is correct

The correct answer is C. 17. (144-25=119) and \(119\div7=17\). Evaluate powers first.

Step 3

Exam Tip

(144-25=119) और \(119\div7=17\)। पहले घातों का मान निकालें।

Open Question Page
Ask Friends

\(2^8+3^6\) का मान क्या है?

What is the value of \(2^8+3^6\)?

Explanation opens after your attempt
Correct Answer

B. 985

Step 1

Concept

\(2^8=256\) and \(3^6=729\). Their sum is (985).

Step 2

Why this answer is correct

The correct answer is B. 985. \(2^8=256\) and \(3^6=729\). Their sum is (985).

Step 3

Exam Tip

\(2^8=256\) और \(3^6=729\)। योग (985) है।

Open Question Page
Ask Friends

\(2^{10}\div2^6\) का मान क्या है?

What is the value of \(2^{10}\div2^6\)?

Explanation opens after your attempt
Correct Answer

A. 16

Step 1

Concept

\(2^{10-6}=2^4\). Use the quotient rule.

Step 2

Why this answer is correct

The correct answer is A. 16. \(2^{10-6}=2^4\). Use the quotient rule.

Step 3

Exam Tip

\(2^{10-6}=2^4\)। भाग के नियम का प्रयोग करें।

Open Question Page
Ask Friends

\(3^{2x-1}=243\) में (x) का मान क्या है?

What is the value of (x) if \(3^{2x-1}=243\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

\(243=3^5\) so (2x-1=5). Write powers with the same base.

Step 2

Why this answer is correct

The correct answer is B. (3). \(243=3^5\) so (2x-1=5). Write powers with the same base.

Step 3

Exam Tip

\(243=3^5\) इसलिए (2x-1=5)। घातों को समान आधार में लिखें।

Open Question Page
Ask Friends

(\(3^2\)3\div34) का मान क्या है?

What is the value of (\(3^2\)3\div34)?

Explanation opens after your attempt
Correct Answer

B. 9

Step 1

Concept

\(3^6\div3^4=3^2\).

Step 2

Why this answer is correct

The correct answer is B. 9. \(3^6\div3^4=3^2\).

Step 3

Exam Tip

\(3^6\div3^4=3^2\)।

Open Question Page
Ask Friends

\(\frac{5^8}{5^3}\) का मान क्या है?

What is the value of \(\frac{5^8}{5^3}\)?

Explanation opens after your attempt
Correct Answer

C. \(5^5\)

Step 1

Concept

Exponents subtract in division. Remember the law.

Step 2

Why this answer is correct

The correct answer is C. \(5^5\). Exponents subtract in division. Remember the law.

Step 3

Exam Tip

भाग में घातें घटती हैं। नियम याद रखें।

Open Question Page
Ask Friends

(\(2^4\)3) का मान किस घात के बराबर है?

(\(2^4\)3) equals which power?

Explanation opens after your attempt
Correct Answer

A. \(2^{12}\)

Step 1

Concept

Multiply exponents for a power of a power. Apply the law.

Step 2

Why this answer is correct

The correct answer is A. \(2^{12}\). Multiply exponents for a power of a power. Apply the law.

Step 3

Exam Tip

घात की घात में गुणा होता है। नियम का प्रयोग करें।

Open Question Page
Ask Friends

यदि \(7^x \times 7^2=7^9\) तो (x=)?

If \(7^x \times 7^2=7^9\) then (x=)?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

For same bases exponents add. (x+2=9).

Step 2

Why this answer is correct

The correct answer is C. (7). For same bases exponents add. (x+2=9).

Step 3

Exam Tip

समान आधार पर घातें जुड़ती हैं। (x+2=9)।

Open Question Page
Ask Friends

\(\frac{2^{-3}}{2^{-5}}\) का मान क्या है?

What is the value of \(\frac{2^{-3}}{2^{-5}}\)?

Explanation opens after your attempt
Correct Answer

B. \(2^2\)

Step 1

Concept

Subtract exponents in division. Handle negative exponents carefully.

Step 2

Why this answer is correct

The correct answer is B. \(2^2\). Subtract exponents in division. Handle negative exponents carefully.

Step 3

Exam Tip

भाग में घातें घटती हैं। ऋणात्मक घातों से न घबराएँ।

Open Question Page
Ask Friends

\(7^2+5^3\) का मान क्या है?

What is the value of \(7^2+5^3\)?

Explanation opens after your attempt
Correct Answer

B. 174

Step 1

Concept

(49+125=174).

Step 2

Why this answer is correct

The correct answer is B. 174. (49+125=174).

Step 3

Exam Tip

(49+125=174)।

Open Question Page
Ask Friends

\(9^x=27\) होने पर (x=)?

If \(9^x=27\), find (x).

Explanation opens after your attempt
Correct Answer

B. \(\frac{3}{2}\)

Step 1

Concept

\(9=3^2\) and \(27=3^3\). Convert to same base.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{3}{2}\). \(9=3^2\) and \(27=3^3\). Convert to same base.

Step 3

Exam Tip

\(9=3^2\) और \(27=3^3\)। आधार समान करें।

Open Question Page
Ask Friends

\(12^2-8^2\) का मान क्या है?

What is the value of \(12^2-8^2\)?

Explanation opens after your attempt
Correct Answer

C. 80

Step 1

Concept

(144-64=80).

Step 2

Why this answer is correct

The correct answer is C. 80. (144-64=80).

Step 3

Exam Tip

(144-64=80)।

Open Question Page
Ask Friends

(\(5^2 \times 5^3\)\div54) का मान क्या है?

Find (\(5^2 \times 5^3\)\div54).

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

Add exponents then subtract. Result is \(5^1\).

Step 2

Why this answer is correct

The correct answer is A. (5). Add exponents then subtract. Result is \(5^1\).

Step 3

Exam Tip

पहले घात जोड़ें फिर घटाएँ। उत्तर \(5^1\) है।

Open Question Page
Ask Friends

यदि \(4^x=64\) तो (x=)?

If \(4^x=64\), then (x=)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

\(64=4^3\). Identify the common base.

Step 2

Why this answer is correct

The correct answer is B. (3). \(64=4^3\). Identify the common base.

Step 3

Exam Tip

\(64=4^3\)। समान आधार पहचानें।

Open Question Page
Ask Friends

(\left\(\frac{1}{3}\right\)^{-4}) का मान क्या है?

What is the value of (\left\(\frac{1}{3}\right\)^{-4})?

Explanation opens after your attempt
Correct Answer

A. (81)

Step 1

Concept

Negative exponent takes reciprocal. Remember the law.

Step 2

Why this answer is correct

The correct answer is A. (81). Negative exponent takes reciprocal. Remember the law.

Step 3

Exam Tip

ऋणात्मक घात व्युत्क्रम बनाती है। नियम याद रखें।

Open Question Page
Ask Friends

(\(5^2\)2\div53) का मान क्या है?

What is the value of (\(5^2\)2\div53)?

Explanation opens after your attempt
Correct Answer

B. 5

Step 1

Concept

\(5^4\div5^3=5\).

Step 2

Why this answer is correct

The correct answer is B. 5. \(5^4\div5^3=5\).

Step 3

Exam Tip

\(5^4\div5^3=5\)।

Open Question Page
Ask Friends

\(16^{3/4}\) का मान क्या है?

Find \(16^{3/4}\).

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

Take fourth root then cube. Follow the order.

Step 2

Why this answer is correct

The correct answer is C. (8). Take fourth root then cube. Follow the order.

Step 3

Exam Tip

चतुर्थ मूल लेकर फिर घन करें। क्रम समझें।

Open Question Page
Ask Friends

\(6^3+4^4\) का मान क्या है?

What is the value of \(6^3+4^4\)?

Explanation opens after your attempt
Correct Answer

C. 472

Step 1

Concept

(216+256=472).

Step 2

Why this answer is correct

The correct answer is C. 472. (216+256=472).

Step 3

Exam Tip

(216+256=472)।

Open Question Page
Ask Friends

यदि \(2^{x+1}=32\) तो (x=)?

If \(2^{x+1}=32\), find (x).

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

\(32=2^5\). Compare exponents.

Step 2

Why this answer is correct

The correct answer is B. (4). \(32=2^5\). Compare exponents.

Step 3

Exam Tip

\(32=2^5\)। घातों की तुलना करें।

Open Question Page
Ask Friends

\(15^2-11^2\) का मान क्या है?

What is the value of \(15^2-11^2\)?

Explanation opens after your attempt
Correct Answer

D. 104

Step 1

Concept

(225-121=104).

Step 2

Why this answer is correct

The correct answer is D. 104. (225-121=104).

Step 3

Exam Tip

(225-121=104)।

Open Question Page
Ask Friends

\(\frac{10^6}{10^2\times10}\) का मान क्या है?

What is \(\frac{10^6}{10^2\times10}\)?

Explanation opens after your attempt
Correct Answer

B. \(10^3\)

Step 1

Concept

Add exponents in denominator. Then apply division law.

Step 2

Why this answer is correct

The correct answer is B. \(10^3\). Add exponents in denominator. Then apply division law.

Step 3

Exam Tip

हर में घातें जोड़ें। फिर भाग का नियम लगाएँ।

Open Question Page
Ask Friends

(\(2^5\)2\div28) का मान क्या है?

What is the value of (\(2^5\)2\div28)?

Explanation opens after your attempt
Correct Answer

A. 4

Step 1

Concept

\(2^{10}\div2^8=2^2\).

Step 2

Why this answer is correct

The correct answer is A. 4. \(2^{10}\div2^8=2^2\).

Step 3

Exam Tip

\(2^{10}\div2^8=2^2\)।

Open Question Page
Ask Friends

\(81^{1/2}\times81^{1/2}\) का मान क्या है?

Find \(81^{1/2}\times81^{1/2}\).

Explanation opens after your attempt
Correct Answer

C. (81)

Step 1

Concept

Exponents add for same base. Total exponent becomes 1.

Step 2

Why this answer is correct

The correct answer is C. (81). Exponents add for same base. Total exponent becomes 1.

Step 3

Exam Tip

समान आधार पर घातें जुड़ती हैं। कुल घात 1 बनती है।

Open Question Page
Ask Friends

\(25^{x}=5^6\) होने पर (x=)?

If \(25^{x}=5^6\), then (x=)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

\(25=5^2\). Compare exponents.

Step 2

Why this answer is correct

The correct answer is B. (3). \(25=5^2\). Compare exponents.

Step 3

Exam Tip

\(25=5^2\)। घातों की तुलना करें।

Open Question Page
Ask Friends

\(3^6\div9^2\) का मान क्या है?

What is the value of \(3^6\div9^2\)?

Explanation opens after your attempt
Correct Answer

C. 9

Step 1

Concept

\(9^2=3^4\). \(3^6\div3^4=3^2\).

Step 2

Why this answer is correct

The correct answer is C. 9. \(9^2=3^4\). \(3^6\div3^4=3^2\).

Step 3

Exam Tip

\(9^2=3^4\)। \(3^6\div3^4=3^2\)।

Open Question Page
Ask Friends

\(16^2\div2^6\) का मान क्या है?

What is the value of \(16^2\div2^6\)?

Explanation opens after your attempt
Correct Answer

D. 4

Step 1

Concept

\(16^2=2^8\). \(2^8\div2^6=2^2=4\).

Step 2

Why this answer is correct

The correct answer is D. 4. \(16^2=2^8\). \(2^8\div2^6=2^2=4\).

Step 3

Exam Tip

\(16^2=2^8\)। \(2^8\div2^6=2^2=4\)।

Open Question Page
Ask Friends

यदि \(8^{x}=2^{12}\) तो (x=)?

If \(8^{x}=2^{12}\), find (x).

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

\(8=2^3\). Convert to same base.

Step 2

Why this answer is correct

The correct answer is B. (4). \(8=2^3\). Convert to same base.

Step 3

Exam Tip

\(8=2^3\)। समान आधार बनाकर हल करें।

Open Question Page
Ask Friends

\(\frac{7^4\times7^{-2}}{7}\) का मान क्या है?

Find \(\frac{7^4\times7^{-2}}{7}\).

Explanation opens after your attempt
Correct Answer

B. (7)

Step 1

Concept

Add exponents then subtract 1. Result is \(7^1\).

Step 2

Why this answer is correct

The correct answer is B. (7). Add exponents then subtract 1. Result is \(7^1\).

Step 3

Exam Tip

घातें जोड़कर फिर 1 घटाएँ। उत्तर \(7^1\) है।

Open Question Page
Ask Friends

\(64^{2/3}\) का मान क्या है?

What is \(64^{2/3}\)?

Explanation opens after your attempt
Correct Answer

B. (16)

Step 1

Concept

Cube root is 4 then square it. Solve stepwise.

Step 2

Why this answer is correct

The correct answer is B. (16). Cube root is 4 then square it. Solve stepwise.

Step 3

Exam Tip

घनमूल 4 है फिर वर्ग करें। चरणबद्ध हल करें।

Open Question Page
Ask Friends

यदि \(5^{2x}=125\) तो (x=)?

If \(5^{2x}=125\), then (x=)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{3}{2}\)

Step 1

Concept

\(125=5^3\). Hence (2x=3).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{3}{2}\). \(125=5^3\). Hence (2x=3).

Step 3

Exam Tip

\(125=5^3\)। इसलिए (2x=3)।

Open Question Page
Ask Friends

\(\frac{3^5-3^4}{3^4}\) का मान क्या है?

Find \(\frac{3^5-3^4}{3^4}\).

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

Take \(3^4\) common. Simplify carefully.

Step 2

Why this answer is correct

The correct answer is B. (2). Take \(3^4\) common. Simplify carefully.

Step 3

Exam Tip

\(3^4\) सार्व गुणनखंड लें। सरलीकरण करें।

Open Question Page
Ask Friends

\(14^2+6^2\) का मान क्या है?

What is the value of \(14^2+6^2\)?

Explanation opens after your attempt
Correct Answer

B. 232

Step 1

Concept

(196+36=232).

Step 2

Why this answer is correct

The correct answer is B. 232. (196+36=232).

Step 3

Exam Tip

(196+36=232)।

Open Question Page
Ask Friends

यदि \(27^{x}=9\) तो (x=)?

If \(27^{x}=9\), then (x=)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{2}{3}\)

Step 1

Concept

Write both in base 3. Compare exponents.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{2}{3}\). Write both in base 3. Compare exponents.

Step 3

Exam Tip

दोनों को आधार 3 में लिखें। घातों की तुलना करें।

Open Question Page
Ask Friends

\(81\div3^2\) का मान क्या है?

What is the value of \(81\div3^2\)?

Explanation opens after your attempt
Correct Answer

C. 9

Step 1

Concept

\(81\div9=9\).

Step 2

Why this answer is correct

The correct answer is C. 9. \(81\div9=9\).

Step 3

Exam Tip

\(81\div9=9\)।

Open Question Page
Ask Friends

\(\frac{4^5}{2^8}\) का मान क्या है?

What is \(\frac{4^5}{2^8}\)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

(45=\(2^2\)5=2^{10}). Then divide.

Step 2

Why this answer is correct

The correct answer is B. (4). (45=\(2^2\)5=2^{10}). Then divide.

Step 3

Exam Tip

(45=\(2^2\)5=2^{10})। फिर भाग करें।

Open Question Page
Ask Friends

(\(10^3\)2\div105) का मान क्या है?

What is the value of (\(10^3\)2\div105)?

Explanation opens after your attempt
Correct Answer

D. 10

Step 1

Concept

\(10^6\div10^5=10\).

Step 2

Why this answer is correct

The correct answer is D. 10. \(10^6\div10^5=10\).

Step 3

Exam Tip

\(10^6\div10^5=10\)।

Open Question Page
Ask Friends

(\(9^{1/2}+16^{1/2}\)2) का मान क्या है?

Find (\(9^{1/2}+16^{1/2}\)2).

Explanation opens after your attempt
Correct Answer

C. (49)

Step 1

Concept

Evaluate roots first. Then square the sum.

Step 2

Why this answer is correct

The correct answer is C. (49). Evaluate roots first. Then square the sum.

Step 3

Exam Tip

मूल निकालकर जोड़ें। फिर वर्ग करें।

Open Question Page
Ask Friends

यदि \(2^{x-2}=16\) तो (x=)?

If \(2^{x-2}=16\), find (x).

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

\(16=2^4\). Hence (x-2=4).

Step 2

Why this answer is correct

The correct answer is C. (6). \(16=2^4\). Hence (x-2=4).

Step 3

Exam Tip

\(16=2^4\)। इसलिए (x-2=4)।

Open Question Page
Ask Friends

\(2^8+5^3\) का मान क्या है?

What is the value of \(2^8+5^3\)?

Explanation opens after your attempt
Correct Answer

B. 381

Step 1

Concept

(256+125=381).

Step 2

Why this answer is correct

The correct answer is B. 381. (256+125=381).

Step 3

Exam Tip

(256+125=381)।

Open Question Page
Ask Friends

\(\frac{6^3\times6^{-1}}{6^2}\) का मान क्या है?

What is \(\frac{6^3\times6^{-1}}{6^2}\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Step 1

Concept

Add exponents then subtract. Net exponent is 0.

Step 2

Why this answer is correct

The correct answer is B. (1). Add exponents then subtract. Net exponent is 0.

Step 3

Exam Tip

घातें जोड़कर फिर घटाएँ। कुल घात 0 है।

Open Question Page
Ask Friends

(\(6^2\)2\div62) का मान क्या है?

What is the value of (\(6^2\)2\div62)?

Explanation opens after your attempt
Correct Answer

C. 1296

Step 1

Concept

\(6^4\div6^2=6^2=36\). Check the correct option.

Step 2

Why this answer is correct

The correct answer is C. 1296. \(6^4\div6^2=6^2=36\). Check the correct option.

Step 3

Exam Tip

\(6^4\div6^2=6^2=36\)। सही विकल्प देखें।

Open Question Page
Ask Friends

\(125^{2/3}\) का मान क्या है?

Find \(125^{2/3}\).

Explanation opens after your attempt
Correct Answer

C. (25)

Step 1

Concept

Cube root is 5 then square it.

Step 2

Why this answer is correct

The correct answer is C. (25). Cube root is 5 then square it.

Step 3

Exam Tip

घनमूल 5 है फिर वर्ग करें।

Open Question Page
Ask Friends

यदि \(32^{x}=8\) तो (x=)?

If \(32^{x}=8\), then (x=)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{3}{5}\)

Step 1

Concept

Write both in base 2. Compare exponents.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{3}{5}\). Write both in base 2. Compare exponents.

Step 3

Exam Tip

दोनों को आधार 2 में लिखें। तुलना करें।

Open Question Page
Ask Friends

\(11^2+8^2\) का मान क्या है?

What is the value of \(11^2+8^2\)?

Explanation opens after your attempt
Correct Answer

B. 185

Step 1

Concept

(121+64=185).

Step 2

Why this answer is correct

The correct answer is B. 185. (121+64=185).

Step 3

Exam Tip

(121+64=185)।

Open Question Page
Ask Friends

\(\frac{9^{-1}}{3^{-4}}\) का मान क्या है?

Find \(\frac{9^{-1}}{3^{-4}}\).

Explanation opens after your attempt
Correct Answer

A. (9)

Step 1

Concept

\(9^{-1}=3^{-2}\). Then apply division law.

Step 2

Why this answer is correct

The correct answer is A. (9). \(9^{-1}=3^{-2}\). Then apply division law.

Step 3

Exam Tip

\(9^{-1}=3^{-2}\)। फिर भाग का नियम लगाएँ।

Open Question Page
Ask Friends

\(32^2\div2^7\) का मान क्या है?

What is the value of \(32^2\div2^7\)?

Explanation opens after your attempt
Correct Answer

C. 8

Step 1

Concept

\(32^2=2^{10}\). \(2^{10}\div2^7=2^3\).

Step 2

Why this answer is correct

The correct answer is C. 8. \(32^2=2^{10}\). \(2^{10}\div2^7=2^3\).

Step 3

Exam Tip

\(32^2=2^{10}\)। \(2^{10}\div2^7=2^3\)।

Open Question Page
Ask Friends

यदि \(\frac{2^{x+3}}{2^{x-1}}=16\) तो (x) का मान क्या है?

If \(\frac{2^{x+3}}{2^{x-1}}=16\), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. कोई भी वास्तविक संख्याAny real number

Step 1

Concept

Subtracting exponents gives \(2^4=16\), always true. (x) cancels out.

Step 2

Why this answer is correct

The correct answer is C. कोई भी वास्तविक संख्या / Any real number. Subtracting exponents gives \(2^4=16\), always true. (x) cancels out.

Step 3

Exam Tip

घात घटाने पर \(2^4=16\) मिलता है जो सदैव सत्य है। (x) कट जाता है।

Open Question Page
Ask Friends

\(19^2-15^2\) का मान क्या है?

What is the value of \(19^2-15^2\)?

Explanation opens after your attempt
Correct Answer

D. 136

Step 1

Concept

(361-225=136).

Step 2

Why this answer is correct

The correct answer is D. 136. (361-225=136).

Step 3

Exam Tip

(361-225=136)।

Open Question Page
Ask Friends

(\left\(\frac{27}{8}\right\)^{2/3}) का मान क्या है?

What is the value of (\left\(\frac{27}{8}\right\)^{2/3})?

Explanation opens after your attempt
Correct Answer

A. \(\frac{9}{4}\)

Step 1

Concept

Take the cube root first and then square it. Apply fractional exponent rules.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{9}{4}\). Take the cube root first and then square it. Apply fractional exponent rules.

Step 3

Exam Tip

पहले घनमूल लें फिर वर्ग करें। भिन्नात्मक घात का नियम लगाएँ।

Open Question Page
Ask Friends

(\(7^2\)2\div73) का मान क्या है?

What is the value of (\(7^2\)2\div73)?

Explanation opens after your attempt
Correct Answer

A. 7

Step 1

Concept

\(7^4\div7^3=7\).

Step 2

Why this answer is correct

The correct answer is A. 7. \(7^4\div7^3=7\).

Step 3

Exam Tip

\(7^4\div7^3=7\)।

Open Question Page
Ask Friends

यदि \(4^{x+1}=64^{x-1}\) तो (x=)?

If \(4^{x+1}=64^{x-1}\), then (x=)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{7}{4}\)

Step 1

Concept

Write both sides in base (2). Solve (2x+2=6x-6).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{7}{4}\). Write both sides in base (2). Solve (2x+2=6x-6).

Step 3

Exam Tip

दोनों पक्षों को आधार (2) में लिखें। (2x+2=6x-6) से हल करें।

Open Question Page
Ask Friends

\(3^5+4^4\) का मान क्या है?

What is the value of \(3^5+4^4\)?

Explanation opens after your attempt
Correct Answer

B. 499

Step 1

Concept

(243+256=499).

Step 2

Why this answer is correct

The correct answer is B. 499. (243+256=499).

Step 3

Exam Tip

(243+256=499)।

Open Question Page
Ask Friends

घातांकों के नियम के अनुसार \(a^3 \times a^4\) का मान क्या है

According to laws of exponents what is \(a^3 \times a^4\)

Explanation opens after your attempt
Correct Answer

A. \(a^7\)

Step 1

Concept

Exponents are added when base is same remember this rule for exams

Step 2

Why this answer is correct

The correct answer is A. \(a^7\). Exponents are added when base is same remember this rule for exams

Step 3

Exam Tip

घातांक जोड़ दिए जाते हैं जब आधार समान हो परीक्षा में यह नियम याद रखें

Open Question Page
Ask Friends

\(2^x = 32\) होने पर (x) का मान क्या होगा

If \(2^x = 32\) then what is value of (x)

Explanation opens after your attempt
Correct Answer

B. 5

Step 1

Concept

Since 32 = 25 so x = 5

Step 2

Why this answer is correct

The correct answer is B. 5. Since 32 = 25 so x = 5

Step 3

Exam Tip

\(32 = 2^5\) होता है इसलिए x=5

Open Question Page
Ask Friends

यदि \(a^x \cdot a^y = a^{12}\) और (x-y=2) है, तो (x) और (y) का मान क्या होगा?

If \(a^x \cdot a^y = a^{12}\) and (x-y=2), then what are the values of (x) and (y)?

Explanation opens after your attempt
Correct Answer

A. (x=7, y=5)

Step 1

Concept

Using exponent rules we get (x+y=12) and (x-y=2), solving gives (x=7, y=5). Form equations and solve for quick exam accuracy.

Step 2

Why this answer is correct

The correct answer is A. (x=7, y=5). Using exponent rules we get (x+y=12) and (x-y=2), solving gives (x=7, y=5). Form equations and solve for quick exam accuracy.

Step 3

Exam Tip

घातांकों के नियम से (x+y=12) और (x-y=2) हल करने पर (x=7, y=5) मिलता है। परीक्षा में दो समीकरण बनाकर हल करना आसान तरीका है।

Open Question Page
Ask Friends

\(x^5 \times x^2\) का सरल रूप क्या होगा

What is simplified form of \(x^5 \times x^2\)

Explanation opens after your attempt
Correct Answer

A. \(x^7\)

Step 1

Concept

Add exponents when base is same this is a key rule

Step 2

Why this answer is correct

The correct answer is A. \(x^7\). Add exponents when base is same this is a key rule

Step 3

Exam Tip

समान आधार होने पर घात जोड़ते हैं यह सरल नियम है

Open Question Page
Ask Friends

\(3^{x} = 81\) में (x) क्या होगा

In \(3^{x} = 81\) what is x

Explanation opens after your attempt
Correct Answer

B. 4

Step 1

Concept

81 can be written as 34

Step 2

Why this answer is correct

The correct answer is B. 4. 81 can be written as 34

Step 3

Exam Tip

81 = 34 होता है

Open Question Page
Ask Friends

(\(a^2\)3) का मान क्या होगा

What is value of (\(a^2\)3)

Explanation opens after your attempt
Correct Answer

A. \(a^6\)

Step 1

Concept

Multiply exponents when power is raised to power

Step 2

Why this answer is correct

The correct answer is A. \(a^6\). Multiply exponents when power is raised to power

Step 3

Exam Tip

घात का घात होने पर गुणा किया जाता है

Open Question Page
Ask Friends

\(\sqrt{a^6}\) का सरल रूप क्या है

What is simplified form of \(\sqrt{a^6}\)

Explanation opens after your attempt
Correct Answer

A. a-3

Step 1

Concept

Square root gives half exponent

Step 2

Why this answer is correct

The correct answer is A. a-3. Square root gives half exponent

Step 3

Exam Tip

वर्गमूल और घात सरल होकर आधा घात देते हैं

Open Question Page
Ask Friends

\(2^3 \times 2^4\) का परिणाम क्या है

What is result of \(2^3 \times 2^4\)

Explanation opens after your attempt
Correct Answer

A. \(2^7\)

Step 1

Concept

Add exponents for same base multiplication

Step 2

Why this answer is correct

The correct answer is A. \(2^7\). Add exponents for same base multiplication

Step 3

Exam Tip

एक ही आधार के घात जोड़ दिए जाते हैं

Open Question Page
Ask Friends

(\(x^{1/2}\)4) का मान क्या होगा

What is value of (\(x^{1/2}\)4)

Explanation opens after your attempt
Correct Answer

A. x-2

Step 1

Concept

Multiply exponents rule applies

Step 2

Why this answer is correct

The correct answer is A. x-2. Multiply exponents rule applies

Step 3

Exam Tip

घात का घात गुणा होता है 1/2×4=2

Open Question Page
Ask Friends

\(\frac{a^6}{a^2}\) का सरल रूप क्या है

What is simplified form of \(\frac{a^6}{a^2}\)

Explanation opens after your attempt
Correct Answer

A. \(a^4\)

Step 1

Concept

Subtract exponents when dividing same base

Step 2

Why this answer is correct

The correct answer is A. \(a^4\). Subtract exponents when dividing same base

Step 3

Exam Tip

भाग में घात घटाए जाते हैं

Open Question Page
Ask Friends

\(\frac{x^8}{x^5}\) का मान क्या होगा

What is value of \(\frac{x^8}{x^5}\)

Explanation opens after your attempt
Correct Answer

A. \(x^3\)

Step 1

Concept

Apply subtraction rule of exponents

Step 2

Why this answer is correct

The correct answer is A. \(x^3\). Apply subtraction rule of exponents

Step 3

Exam Tip

घात घटाने का नियम लागू होता है

Open Question Page
Ask Friends

(\(a^2 b^3\)0) का मान क्या है

What is value of (\(a^2 b^3\)0)

Explanation opens after your attempt
Correct Answer

A. 1

Step 1

Concept

Any non-zero expression to power zero is one

Step 2

Why this answer is correct

The correct answer is A. 1. Any non-zero expression to power zero is one

Step 3

Exam Tip

कोई भी गैर शून्य अभिव्यक्ति शून्य घात पर 1 होती है

Open Question Page
Ask Friends

\(a^0\) का मान क्या होता है

What is value of \(a^0\)

Explanation opens after your attempt
Correct Answer

A. 1

Step 1

Concept

Any non zero number to power zero is one

Step 2

Why this answer is correct

The correct answer is A. 1. Any non zero number to power zero is one

Step 3

Exam Tip

कोई भी शून्य घात पर 1 होता है

Open Question Page
Ask Friends

\(\frac{5^0 + 2^0}{3^0}\) का मान क्या होगा

What is value of \(\frac{5^0 + 2^0}{3^0}\)

Explanation opens after your attempt
Correct Answer

A. 2

Step 1

Concept

Each zero exponent becomes 1

Step 2

Why this answer is correct

The correct answer is A. 2. Each zero exponent becomes 1

Step 3

Exam Tip

हर पद 1 होता है इसलिए (1+1)/1 = 2

Open Question Page
Ask Friends

( \(x^2\)3 \times x^{-1} ) का सरल रूप क्या है

Simplify ( \(x^2\)3 \times x^{-1} )

Explanation opens after your attempt
Correct Answer

A. x-5

Step 1

Concept

Multiply powers and subtract exponents

Step 2

Why this answer is correct

The correct answer is A. x-5. Multiply powers and subtract exponents

Step 3

Exam Tip

6-1 = 5 घात नियम लागू होता है

Open Question Page
Ask Friends

(\(x^3\)2) का मान क्या होगा

What is value of (\(x^3\)2)

Explanation opens after your attempt
Correct Answer

A. \(x^6\)

Step 1

Concept

Multiply exponents when power is raised

Step 2

Why this answer is correct

The correct answer is A. \(x^6\). Multiply exponents when power is raised

Step 3

Exam Tip

घातों का गुणा किया जाता है

Open Question Page
Ask Friends

\(\frac{a^3 b^{-2}}{a^{-1} b}\) का मान क्या है

What is value of \(\frac{a^3 b^{-2}}{a^{-1} b}\)

Explanation opens after your attempt
Correct Answer

A. a-4 b^{-3}

Step 1

Concept

Apply exponent subtraction rules

Step 2

Why this answer is correct

The correct answer is A. a-4 b^{-3}. Apply exponent subtraction rules

Step 3

Exam Tip

घात घटाने और जोड़ने के नियम लागू होते हैं

Open Question Page
Ask Friends

(\(2^2\)3) का परिणाम क्या है

What is result of (\(2^2\)3)

Explanation opens after your attempt
Correct Answer

A. \(2^6\)

Step 1

Concept

Power of power rule multiplies exponents

Step 2

Why this answer is correct

The correct answer is A. \(2^6\). Power of power rule multiplies exponents

Step 3

Exam Tip

घात का घात गुणा होता है

Open Question Page
Ask Friends

( \(2^3 \cdot 4^{-1}\) ) का मान क्या है

What is value of ( \(2^3 \cdot 4^{-1}\) )

Explanation opens after your attempt
Correct Answer

A. 2

Step 1

Concept

Convert base and simplify

Step 2

Why this answer is correct

The correct answer is A. 2. Convert base and simplify

Step 3

Exam Tip

4 = 22 होने पर 23 × 2-2 = 2

Open Question Page
Ask Friends

\(3^4 \times 3^1\) का मान क्या है

What is value of \(3^4 \times 3^1\)

Explanation opens after your attempt
Correct Answer

A. \(3^5\)

Step 1

Concept

Add exponents for same base multiplication

Step 2

Why this answer is correct

The correct answer is A. \(3^5\). Add exponents for same base multiplication

Step 3

Exam Tip

समान आधार पर घात जोड़ते हैं

Open Question Page
Ask Friends

(\(x^3 y^{-3}\)^{-1}) का सरल रूप क्या है

What is simplified form of (\(x^3 y^{-3}\)^{-1})

Explanation opens after your attempt
Correct Answer

A. y-3x-3

Step 1

Concept

Negative exponent flips fraction

Step 2

Why this answer is correct

The correct answer is A. y-3 / x-3. Negative exponent flips fraction

Step 3

Exam Tip

ऋणात्मक घात उल्टा कर देता है

Open Question Page
Ask Friends

\(\frac{2^7}{2^3}\) का सरल रूप क्या है

What is simplified form of \(\frac{2^7}{2^3}\)

Explanation opens after your attempt
Correct Answer

A. \(2^4\)

Step 1

Concept

Subtract exponents in division rule

Step 2

Why this answer is correct

The correct answer is A. \(2^4\). Subtract exponents in division rule

Step 3

Exam Tip

भाग में घात घटाए जाते हैं

Open Question Page
Ask Friends

(\frac{1}{\(a^{-2} b^3\)}) का सरल रूप क्या है

What is simplified form of (\frac{1}{\(a^{-2} b^3\)})

Explanation opens after your attempt
Correct Answer

A. a-2b-3

Step 1

Concept

Move negative exponents across fraction

Step 2

Why this answer is correct

The correct answer is A. a-2 / b-3. Move negative exponents across fraction

Step 3

Exam Tip

हर में ऋणात्मक घात ऊपर चला जाता है

Open Question Page
Ask Friends

\(a^{-2}\) का अर्थ क्या है

What does \(a^{-2}\) mean

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{a^2}\)

Step 1

Concept

Negative exponent gives reciprocal

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{a^2}\). Negative exponent gives reciprocal

Step 3

Exam Tip

ऋणात्मक घात व्युत्क्रम देता है

Open Question Page
Ask Friends

( (27)^{2/3} ) का मान क्या है

What is value of ( (27)^{2/3} )

Explanation opens after your attempt
Correct Answer

A. 9

Step 1

Concept

Use fractional exponent rule

Step 2

Why this answer is correct

The correct answer is A. 9. Use fractional exponent rule

Step 3

Exam Tip

27 = 33 होने पर \(3^3\)^{2/3} = 32 = 9

Open Question Page
Ask Friends

\(x^{-3}\) का सरल रूप क्या है

What is simplified form of \(x^{-3}\)

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{x^3}\)

Step 1

Concept

Negative exponent becomes reciprocal

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{x^3}\). Negative exponent becomes reciprocal

Step 3

Exam Tip

ऋणात्मक घात उल्टा कर देता है

Open Question Page
Ask Friends

( (64)^{1/3} ) का मान क्या है

What is value of ( (64)^{1/3} )

Explanation opens after your attempt
Correct Answer

A. 4

Step 1

Concept

Cube root gives base 4

Step 2

Why this answer is correct

The correct answer is A. 4. Cube root gives base 4

Step 3

Exam Tip

64 = 43 इसलिए घनमूल 4 होता है

Open Question Page
Ask Friends

\(\frac{1}{a^{-4}}\) का मान क्या है

What is value of \(\frac{1}{a^{-4}}\)

Explanation opens after your attempt
Correct Answer

A. \(a^4\)

Step 1

Concept

Negative exponent flips fraction

Step 2

Why this answer is correct

The correct answer is A. \(a^4\). Negative exponent flips fraction

Step 3

Exam Tip

ऋणात्मक घात पलट जाता है

Open Question Page
Ask Friends

(\(a^m\)^n = ?) का नियम क्या है

What is rule of (\(a^m\)^n)

Explanation opens after your attempt
Correct Answer

A. a^{mn}

Step 1

Concept

Power of power multiplies exponents

Step 2

Why this answer is correct

The correct answer is A. a^{mn}. Power of power multiplies exponents

Step 3

Exam Tip

घात का घात गुणा होता है

Open Question Page
Ask Friends

\(\frac{x^m}{x^n} \cdot x^p\) का सरल रूप क्या है

What is simplified form of \(\frac{x^m}{x^n} \cdot x^p\)

Explanation opens after your attempt
Correct Answer

A. x^{m-n+p}

Step 1

Concept

Combine exponents using rules

Step 2

Why this answer is correct

The correct answer is A. x^{m-n+p}. Combine exponents using rules

Step 3

Exam Tip

घात जोड़ और घटाकर सरल होता है

Open Question Page
Ask Friends

(\(a^{-1}\)3) का मान क्या होगा

What is value of (\(a^{-1}\)3)

Explanation opens after your attempt
Correct Answer

A. \(a^{-3}\)

Step 1

Concept

Multiply exponents in power of power rule

Step 2

Why this answer is correct

The correct answer is A. \(a^{-3}\). Multiply exponents in power of power rule

Step 3

Exam Tip

घात का घात गुणा होता है

Open Question Page
Ask Friends

( \(2^x = 8, 3^y = 27\) ) होने पर (x+y) क्या है

If \(2^x = 8\) and \(3^y = 27\) then x+y

Explanation opens after your attempt
Correct Answer

A. 5

Step 1

Concept

Solve powers individually then add

Step 2

Why this answer is correct

The correct answer is A. 5. Solve powers individually then add

Step 3

Exam Tip

x=3 और y=3 इसलिए योग 6

Open Question Page
Ask Friends

(\(2^{-2}\)2) का परिणाम क्या है

What is result of (\(2^{-2}\)2)

Explanation opens after your attempt
Correct Answer

A. \(2^{-4}\)

Step 1

Concept

Multiply exponents rule applies

Step 2

Why this answer is correct

The correct answer is A. \(2^{-4}\). Multiply exponents rule applies

Step 3

Exam Tip

घात गुणा किया जाता है

Open Question Page
Ask Friends

\(\frac{a^3 b^2}{a b}\) का सरल रूप क्या है

What is simplified form of \(\frac{a^3 b^2}{a b}\)

Explanation opens after your attempt
Correct Answer

A. \(a^2 b\)

Step 1

Concept

Subtract exponents for same bases

Step 2

Why this answer is correct

The correct answer is A. \(a^2 b\). Subtract exponents for same bases

Step 3

Exam Tip

समान आधार पर घात घटते हैं

Open Question Page
Ask Friends

((ab)2) का विस्तार क्या है

What is expansion of ((ab)2)

Explanation opens after your attempt
Correct Answer

A. \(a^2 b^2\)

Step 1

Concept

Exponent distributes over multiplication

Step 2

Why this answer is correct

The correct answer is A. \(a^2 b^2\). Exponent distributes over multiplication

Step 3

Exam Tip

गुणन पर घात दोनों पर लागू होता है

Open Question Page
Ask Friends

\(2^5 \times 4^2\) का सरल रूप क्या है

What is simplified form of \(2^5 \times 4^2\)

Explanation opens after your attempt
Correct Answer

B. \(2^{10}\)

Step 1

Concept

Convert base then apply exponent rules

Step 2

Why this answer is correct

The correct answer is B. \(2^{10}\). Convert base then apply exponent rules

Step 3

Exam Tip

4 को 2 की घात में बदलकर जोड़ते हैं

Open Question Page
Ask Friends

\(\frac{8^2}{2^4}\) का मान क्या है

What is value of \(\frac{8^2}{2^4}\)

Explanation opens after your attempt
Correct Answer

A. 4

Step 1

Concept

Rewrite bases then simplify exponents

Step 2

Why this answer is correct

The correct answer is A. 4. Rewrite bases then simplify exponents

Step 3

Exam Tip

आधार बदलकर घात सरल किया जाता है

Open Question Page
Ask Friends

(\(x^2 y^3\)2) का मान क्या है

What is value of (\(x^2 y^3\)2)

Explanation opens after your attempt
Correct Answer

A. \(x^4 y^6\)

Step 1

Concept

Power distributes over product

Step 2

Why this answer is correct

The correct answer is A. \(x^4 y^6\). Power distributes over product

Step 3

Exam Tip

घात अंदर सभी पदों पर लागू होता है

Open Question Page
Ask Friends

\(3^{-1} \times 3^2\) का मान क्या है

What is value of \(3^{-1} \times 3^2\)

Explanation opens after your attempt
Correct Answer

A. 3

Step 1

Concept

Add exponents for same base

Step 2

Why this answer is correct

The correct answer is A. 3. Add exponents for same base

Step 3

Exam Tip

घात जोड़कर सरल किया जाता है

Open Question Page
Ask Friends

\(\frac{1}{x^{-2}}\) का सरल रूप क्या है

What is simplified form of \(\frac{1}{x^{-2}}\)

Explanation opens after your attempt
Correct Answer

A. \(x^2\)

Step 1

Concept

Negative exponent becomes positive when inverted

Step 2

Why this answer is correct

The correct answer is A. \(x^2\). Negative exponent becomes positive when inverted

Step 3

Exam Tip

ऋणात्मक घात पलट जाता है

Open Question Page
Ask Friends

\(a^m \times a^n \times a^p\) का नियम क्या है

What is rule of \(a^m \times a^n \times a^p\)

Explanation opens after your attempt
Correct Answer

A. \(a^{m+n+p}\)

Step 1

Concept

Add all exponents for same base

Step 2

Why this answer is correct

The correct answer is A. \(a^{m+n+p}\). Add all exponents for same base

Step 3

Exam Tip

समान आधार पर सभी घात जोड़ते हैं

Open Question Page
Ask Friends

(\(x^0 + x^1\)) का मान क्या है

What is value of (\(x^0 + x^1\))

Explanation opens after your attempt
Correct Answer

A. 1+x

Step 1

Concept

Zero exponent rule gives one

Step 2

Why this answer is correct

The correct answer is A. 1+x. Zero exponent rule gives one

Step 3

Exam Tip

\(x^0=1\) होता है

Open Question Page
Ask Friends

(\(2^3 \times 5^3\)) का सरल रूप क्या है

What is simplified form of (\(2^3 \times 5^3\))

Explanation opens after your attempt
Correct Answer

A. \(10^3\)

Step 1

Concept

Same exponent combines bases

Step 2

Why this answer is correct

The correct answer is A. \(10^3\). Same exponent combines bases

Step 3

Exam Tip

समान घात पर आधार गुणा होता है

Open Question Page
Ask Friends

\(\frac{a^2}{b^2}\) का घात नियम क्या दर्शाता है

What does \(\frac{a^2}{b^2}\) represent

Explanation opens after your attempt
Correct Answer

A. (\(\frac{a}{b}\)2)

Step 1

Concept

Exponent applies to numerator and denominator

Step 2

Why this answer is correct

The correct answer is A. (\(\frac{a}{b}\)2). Exponent applies to numerator and denominator

Step 3

Exam Tip

घात दोनों पर समान रूप से लागू होता है

Open Question Page
Ask Friends

( (x y z)2 ) का विस्तार क्या है

What is expansion of ( (x y z)2 )

Explanation opens after your attempt
Correct Answer

A. \(x^2 y^2 z^2\)

Step 1

Concept

Power distributes over all factors

Step 2

Why this answer is correct

The correct answer is A. \(x^2 y^2 z^2\). Power distributes over all factors

Step 3

Exam Tip

घात सभी गुणकों पर लागू होता है

Open Question Page
Ask Friends

\(4^{-1} + 2^{-1}\) का मान क्या है

What is value of \(4^{-1} + 2^{-1}\)

Explanation opens after your attempt
Correct Answer

A. \(\frac{3}{4}\)

Step 1

Concept

Convert negative exponents to fractions

Step 2

Why this answer is correct

The correct answer is A. \(\frac{3}{4}\). Convert negative exponents to fractions

Step 3

Exam Tip

ऋणात्मक घात भिन्न बनाते हैं

Open Question Page
Ask Friends

(\(a^2 b^{-2}\)) का सरल रूप क्या है

What is simplified form of (\(a^2 b^{-2}\))

Explanation opens after your attempt
Correct Answer

A. \(\frac{a^2}{b^2}\)

Step 1

Concept

Negative exponent shifts to denominator

Step 2

Why this answer is correct

The correct answer is A. \(\frac{a^2}{b^2}\). Negative exponent shifts to denominator

Step 3

Exam Tip

ऋणात्मक घात हर में जाता है

Open Question Page
Ask Friends

\(\frac{2^{-3}}{2^{-1}}\) का मान क्या है

What is value of \(\frac{2^{-3}}{2^{-1}}\)

Explanation opens after your attempt
Correct Answer

A. \(2^{-2}\)

Step 1

Concept

Subtract exponents in division

Step 2

Why this answer is correct

The correct answer is A. \(2^{-2}\). Subtract exponents in division

Step 3

Exam Tip

घात घटाने का नियम लागू होता है

Open Question Page
Ask Friends

( \(x^3\)0 ) का मान क्या है

What is value of ( \(x^3\)0 )

Explanation opens after your attempt
Correct Answer

A. 1

Step 1

Concept

Any non zero expression to power zero is one

Step 2

Why this answer is correct

The correct answer is A. 1. Any non zero expression to power zero is one

Step 3

Exam Tip

कोई भी गैर शून्य पद शून्य घात पर 1 होता है

Open Question Page
Ask Friends

\(\frac{a^m}{a^m}\) का मान क्या है

What is value of \(\frac{a^m}{a^m}\)

Explanation opens after your attempt
Correct Answer

A. 1

Step 1

Concept

Same exponents cancel out

Step 2

Why this answer is correct

The correct answer is A. 1. Same exponents cancel out

Step 3

Exam Tip

समान घात कट जाते हैं

Open Question Page
Ask Friends
FAQs

Class 9 Mathematics Quiz FAQs

How many questions are in this quiz?

This topic quiz currently has 150 active questions from the selected topic.

Is there a timer in this quiz?

Yes, the timer uses 25 seconds per question for Expert difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.