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Mathematics Quiz - Class 9 Mathematics Introduction to Po...

Question 1/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(2^{10}\div2^6\) 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।

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Question 2/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(3^{2x-1}=243\) 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।

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Question 3/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\(3^2\)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

\(3^6\div3^4=3^2\)।

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Question 4/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(\frac{5^8}{5^3}\) 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।

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Question 5/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\(2^4\)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।

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Question 6/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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

Question 7/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(\frac{2^{-3}}{2^{-5}}\) 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।

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Question 8/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(7^2+5^3\) 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)।

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Question 9/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(9^x=27\) 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।

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Question 10/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(12^2-8^2\) 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)।

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Question 11/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\(5^2 \times 5^3\)\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।

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Question 12/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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।

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Question 13/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\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।

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Question 14/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\(5^2\)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

\(5^4\div5^3=5\)।

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Question 15/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(16^{3/4}\) 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।

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Question 16/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(6^3+4^4\) 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

Question 17/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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।

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Question 18/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(15^2-11^2\) 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

Question 19/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(\frac{10^6}{10^2\times10}\) 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।

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Question 20/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\(2^5\)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

\(2^{10}\div2^8=2^2\)।

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Question 21/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(81^{1/2}\times81^{1/2}\) 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।

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Question 22/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(25^{x}=5^6\) 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।

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Question 23/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(3^6\div9^2\) 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

Question 24/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(16^2\div2^6\) 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

Question 25/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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

Question 26/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(\frac{7^4\times7^{-2}}{7}\) 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।

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Question 27/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(64^{2/3}\) 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।

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Question 28/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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

Question 29/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(\frac{3^5-3^4}{3^4}\) 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।

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Question 30/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(14^2+6^2\) 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

Question 31/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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

Question 32/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(81\div3^2\) 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

Question 33/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(\frac{4^5}{2^8}\) 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।

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Question 34/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\(10^3\)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

Question 35/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\(9^{1/2}+16^{1/2}\)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।

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Question 36/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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

Question 37/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(2^8+5^3\) 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

Question 38/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(\frac{6^3\times6^{-1}}{6^2}\) 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।

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Question 39/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\(6^2\)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।

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Question 40/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(125^{2/3}\) 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।

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Question 41/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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।

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Question 42/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(11^2+8^2\) 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

Question 43/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(\frac{9^{-1}}{3^{-4}}\) 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।

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Question 44/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(32^2\div2^7\) 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

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

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Question 45/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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।

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Question 46/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(19^2-15^2\) 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)।

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Question 47/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\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।

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Question 48/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

(\(7^2\)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

\(7^4\div7^3=7\)।

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Question 49/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

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।

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Question 50/50 Expert Mathematics Number Systems Exponents Class 9 Level 5

\(3^5+4^4\) 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)।

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Class 9 Mathematics - Introduction to Polynomials - Algebraic expressions Expert Quiz

\(2^{10}\div2^6\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

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(\(3^2\)3\div34) का मान क्या है?

Concept

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\(\frac{5^8}{5^3}\) का मान क्या है?

Concept

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Exam Tip

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

Concept

Why this answer is correct

Exam Tip

यदि \(7^x \times 7^2=7^9\) तो (x=)?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

\(7^2+5^3\) का मान क्या है?

Concept

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Exam Tip

\(9^x=27\) होने पर (x=)?

Concept

Why this answer is correct

Exam Tip

\(12^2-8^2\) का मान क्या है?

Concept

Why this answer is correct

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

Concept

Why this answer is correct

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यदि \(4^x=64\) तो (x=)?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

(\(5^2\)2\div53) का मान क्या है?

Concept

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\(16^{3/4}\) का मान क्या है?

Concept

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Exam Tip

\(6^3+4^4\) का मान क्या है?

Concept

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यदि \(2^{x+1}=32\) तो (x=)?

Concept

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Exam Tip

\(15^2-11^2\) का मान क्या है?

Concept

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

Concept

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Exam Tip

(\(2^5\)2\div28) का मान क्या है?

Concept

Why this answer is correct

(\(3^2\)³\div3⁴) का मान क्या है?

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

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

(\(5^2\)²\div5³) का मान क्या है?

(\(2^5\)²\div2⁸) का मान क्या है?

(\(10^3\)²\div10⁵) का मान क्या है?

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