\(2^{10}\div2^6\) का मान क्या है?
What is the value of \(2^{10}\div2^6\)?
Explanation opens after your attempt
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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\(3^{2x-1}=243\) में (x) का मान क्या है?
What is the value of (x) if \(3^{2x-1}=243\)?
Explanation opens after your attempt
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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(\(3^2\)3\div34) का मान क्या है?
What is the value of (\(3^2\)3\div34)?
Explanation opens after your attempt
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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\(\frac{5^8}{5^3}\) 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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(\(2^4\)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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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
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)।
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\(\frac{2^{-3}}{2^{-5}}\) 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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\(7^2+5^3\) का मान क्या है?
What is the value of \(7^2+5^3\)?
Explanation opens after your attempt
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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\(9^x=27\) 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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\(12^2-8^2\) का मान क्या है?
What is the value of \(12^2-8^2\)?
Explanation opens after your attempt
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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(\(5^2 \times 5^3\)\div54) का मान क्या है?
Find (\(5^2 \times 5^3\)\div54).
Explanation opens after your attempt
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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यदि \(4^x=64\) तो (x=)?
If \(4^x=64\), then (x=)?
Explanation opens after your attempt
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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(\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
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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(\(5^2\)2\div53) का मान क्या है?
What is the value of (\(5^2\)2\div53)?
Explanation opens after your attempt
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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\(16^{3/4}\) का मान क्या है?
Find \(16^{3/4}\).
Explanation opens after your attempt
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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\(6^3+4^4\) का मान क्या है?
What is the value of \(6^3+4^4\)?
Explanation opens after your attempt
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)।
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यदि \(2^{x+1}=32\) तो (x=)?
If \(2^{x+1}=32\), find (x).
Explanation opens after your attempt
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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\(15^2-11^2\) का मान क्या है?
What is the value of \(15^2-11^2\)?
Explanation opens after your attempt
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)।
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\(\frac{10^6}{10^2\times10}\) 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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(\(2^5\)2\div28) का मान क्या है?
What is the value of (\(2^5\)2\div28)?
Explanation opens after your attempt
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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\(81^{1/2}\times81^{1/2}\) का मान क्या है?
Find \(81^{1/2}\times81^{1/2}\).
Explanation opens after your attempt
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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\(25^{x}=5^6\) होने पर (x=)?
If \(25^{x}=5^6\), then (x=)?
Explanation opens after your attempt
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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\(3^6\div9^2\) का मान क्या है?
What is the value of \(3^6\div9^2\)?
Explanation opens after your attempt
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
\(9^2=3^4\)। \(3^6\div3^4=3^2\)।
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\(16^2\div2^6\) का मान क्या है?
What is the value of \(16^2\div2^6\)?
Explanation opens after your attempt
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
\(16^2=2^8\)। \(2^8\div2^6=2^2=4\)।
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यदि \(8^{x}=2^{12}\) तो (x=)?
If \(8^{x}=2^{12}\), find (x).
Explanation opens after your attempt
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।
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\(\frac{7^4\times7^{-2}}{7}\) का मान क्या है?
Find \(\frac{7^4\times7^{-2}}{7}\).
Explanation opens after your attempt
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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\(64^{2/3}\) का मान क्या है?
What is \(64^{2/3}\)?
Explanation opens after your attempt
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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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)।
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\(\frac{3^5-3^4}{3^4}\) का मान क्या है?
Find \(\frac{3^5-3^4}{3^4}\).
Explanation opens after your attempt
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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\(14^2+6^2\) का मान क्या है?
What is the value of \(14^2+6^2\)?
Explanation opens after your attempt
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)।
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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।
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\(81\div3^2\) का मान क्या है?
What is the value of \(81\div3^2\)?
Explanation opens after your attempt
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
\(81\div9=9\)।
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\(\frac{4^5}{2^8}\) का मान क्या है?
What is \(\frac{4^5}{2^8}\)?
Explanation opens after your attempt
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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(\(10^3\)2\div105) का मान क्या है?
What is the value of (\(10^3\)2\div105)?
Explanation opens after your attempt
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
\(10^6\div10^5=10\)।
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(\(9^{1/2}+16^{1/2}\)2) का मान क्या है?
Find (\(9^{1/2}+16^{1/2}\)2).
Explanation opens after your attempt
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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यदि \(2^{x-2}=16\) तो (x=)?
If \(2^{x-2}=16\), find (x).
Explanation opens after your attempt
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)।
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\(2^8+5^3\) का मान क्या है?
What is the value of \(2^8+5^3\)?
Explanation opens after your attempt
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)।
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\(\frac{6^3\times6^{-1}}{6^2}\) का मान क्या है?
What is \(\frac{6^3\times6^{-1}}{6^2}\)?
Explanation opens after your attempt
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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(\(6^2\)2\div62) का मान क्या है?
What is the value of (\(6^2\)2\div62)?
Explanation opens after your attempt
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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\(125^{2/3}\) का मान क्या है?
Find \(125^{2/3}\).
Explanation opens after your attempt
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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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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\(11^2+8^2\) का मान क्या है?
What is the value of \(11^2+8^2\)?
Explanation opens after your attempt
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)।
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\(\frac{9^{-1}}{3^{-4}}\) का मान क्या है?
Find \(\frac{9^{-1}}{3^{-4}}\).
Explanation opens after your attempt
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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\(32^2\div2^7\) का मान क्या है?
What is the value of \(32^2\div2^7\)?
Explanation opens after your attempt
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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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 संख्या/Any 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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\(19^2-15^2\) का मान क्या है?
What is the value of \(19^2-15^2\)?
Explanation opens after your attempt
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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(\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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(\(7^2\)2\div73) का मान क्या है?
What is the value of (\(7^2\)2\div73)?
Explanation opens after your attempt
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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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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\(3^5+4^4\) का मान क्या है?
What is the value of \(3^5+4^4\)?
Explanation opens after your attempt
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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