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Mathematics Quiz - Class 9 Mathematics Number Systems...

Question 1/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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. \(a^7\)

Explanation

Simple Explanation

घातांक जोड़ दिए जाते हैं जब आधार समान हो परीक्षा में यह नियम याद रखें / Exponents are added when base is same remember this rule for exams

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Question 2/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(2^x = 32\) 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

Explanation

Simple Explanation

\(32 = 2^5\) होता है इसलिए x=5 / Since 32 = 2⁵ so x = 5

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Question 3/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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)

Explanation

Simple Explanation

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। / 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.

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Question 4/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

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

Explanation opens after your attempt

Correct Answer

A. \(x^7\)

Explanation

Simple Explanation

समान आधार होने पर घात जोड़ते हैं यह सरल नियम है / Add exponents when base is same this is a key rule

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

\(3^{x} = 81\) में (x) क्या होगा

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

Explanation opens after your attempt

Correct Answer

B. 4

Explanation

Simple Explanation

81 = 3⁴ होता है / 81 can be written as 3⁴

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

(\(a^2\)³) का मान क्या होगा

What is value of (\(a^2\)³)

Explanation opens after your attempt

Correct Answer

A. \(a^6\)

Explanation

Simple Explanation

घात का घात होने पर गुणा किया जाता है / Multiply exponents when power is raised to power

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Question 7/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(\sqrt{a^6}\) का सरल रूप क्या है

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

Explanation opens after your attempt

Correct Answer

A. a^-3

Explanation

Simple Explanation

वर्गमूल और घात सरल होकर आधा घात देते हैं / Square root gives half exponent

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Question 8/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(2^3 \times 2^4\) का परिणाम क्या है

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

Explanation opens after your attempt

Correct Answer

A. \(2^7\)

Explanation

Simple Explanation

एक ही आधार के घात जोड़ दिए जाते हैं / Add exponents for same base multiplication

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

(\(x^{1/2}\)⁴) का मान क्या होगा

What is value of (\(x^{1/2}\)⁴)

Explanation opens after your attempt

Correct Answer

A. x^-2

Explanation

Simple Explanation

घात का घात गुणा होता है 1/2×4=2 / Multiply exponents rule applies

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Question 10/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

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

Explanation opens after your attempt

Correct Answer

A. \(a^4\)

Explanation

Simple Explanation

भाग में घात घटाए जाते हैं / Subtract exponents when dividing same base

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Question 11/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(\frac{x^8}{x^5}\) का मान क्या होगा

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

Explanation opens after your attempt

Correct Answer

A. \(x^3\)

Explanation

Simple Explanation

घात घटाने का नियम लागू होता है / Apply subtraction rule of exponents

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Question 12/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(a^2 b^3\)⁰) का मान क्या है

What is value of (\(a^2 b^3\)⁰)

Explanation opens after your attempt

Correct Answer

A. 1

Explanation

Simple Explanation

कोई भी गैर शून्य अभिव्यक्ति शून्य घात पर 1 होती है / Any non-zero expression to power zero is one

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Question 13/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(a^0\) का मान क्या होता है

What is value of \(a^0\)

Explanation opens after your attempt

Correct Answer

A. 1

Explanation

Simple Explanation

कोई भी शून्य घात पर 1 होता है / Any non zero number to power zero is one

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Question 14/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

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

Explanation opens after your attempt

Correct Answer

A. 2

Explanation

Simple Explanation

हर पद 1 होता है इसलिए (1+1)/1 = 2 / Each zero exponent becomes 1

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Question 15/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

( \(x^2\)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

Explanation

Simple Explanation

6-1 = 5 घात नियम लागू होता है / Multiply powers and subtract exponents

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Question 16/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(x^3\)²) का मान क्या होगा

What is value of (\(x^3\)²)

Explanation opens after your attempt

Correct Answer

A. \(x^6\)

Explanation

Simple Explanation

घातों का गुणा किया जाता है / Multiply exponents when power is raised

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Question 17/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(\frac{a^3 b^{-2}}{a^{-1} b}\) 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}

Explanation

Simple Explanation

घात घटाने और जोड़ने के नियम लागू होते हैं / Apply exponent subtraction rules

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Question 18/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(2^2\)³) का परिणाम क्या है

What is result of (\(2^2\)³)

Explanation opens after your attempt

Correct Answer

A. \(2^6\)

Explanation

Simple Explanation

घात का घात गुणा होता है / Power of power rule multiplies exponents

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Question 19/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

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

Explanation opens after your attempt

Correct Answer

A. 2

Explanation

Simple Explanation

4 = 2² होने पर 2³ × 2^-2 = 2 / Convert base and simplify

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Question 20/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(3^4 \times 3^1\) का मान क्या है

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

Explanation opens after your attempt

Correct Answer

A. \(3^5\)

Explanation

Simple Explanation

समान आधार पर घात जोड़ते हैं / Add exponents for same base multiplication

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Question 21/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(x^3 y^{-3}\)^{-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

Explanation

Simple Explanation

ऋणात्मक घात उल्टा कर देता है / Negative exponent flips fraction

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Question 22/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

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

Explanation opens after your attempt

Correct Answer

A. \(2^4\)

Explanation

Simple Explanation

भाग में घात घटाए जाते हैं / Subtract exponents in division rule

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Question 23/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\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

Explanation

Simple Explanation

हर में ऋणात्मक घात ऊपर चला जाता है / Move negative exponents across fraction

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Question 24/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(a^{-2}\) का अर्थ क्या है

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

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

ऋणात्मक घात व्युत्क्रम देता है / Negative exponent gives reciprocal

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Question 25/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

( (27)^{2/3} ) का मान क्या है

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

Explanation opens after your attempt

Correct Answer

A. 9

Explanation

Simple Explanation

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

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Question 26/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(x^{-3}\) का सरल रूप क्या है

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

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

ऋणात्मक घात उल्टा कर देता है / Negative exponent becomes reciprocal

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Question 27/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

( (64)^{1/3} ) का मान क्या है

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

Explanation opens after your attempt

Correct Answer

A. 4

Explanation

Simple Explanation

64 = 4³ इसलिए घनमूल 4 होता है / Cube root gives base 4

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Question 28/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(\frac{1}{a^{-4}}\) का मान क्या है

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

Explanation opens after your attempt

Correct Answer

A. \(a^4\)

Explanation

Simple Explanation

ऋणात्मक घात पलट जाता है / Negative exponent flips fraction

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Question 29/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(a^m\)^n = ?) का नियम क्या है

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

Explanation opens after your attempt

Correct Answer

A. a^{mn}

Explanation

Simple Explanation

घात का घात गुणा होता है / Power of power multiplies exponents

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Question 30/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(\frac{x^m}{x^n} \cdot x^p\) 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}

Explanation

Simple Explanation

घात जोड़ और घटाकर सरल होता है / Combine exponents using rules

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Question 31/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(a^{-1}\)³) का मान क्या होगा

What is value of (\(a^{-1}\)³)

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

घात का घात गुणा होता है / Multiply exponents in power of power rule

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Question 32/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

( \(2^x = 8, 3^y = 27\) ) 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

Explanation

Simple Explanation

x=3 और y=3 इसलिए योग 6 / Solve powers individually then add

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Question 33/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(2^{-2}\)²) का परिणाम क्या है

What is result of (\(2^{-2}\)²)

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

घात गुणा किया जाता है / Multiply exponents rule applies

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Question 34/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(\frac{a^3 b^2}{a b}\) 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. \(a^2 b\)

Explanation

Simple Explanation

समान आधार पर घात घटते हैं / Subtract exponents for same bases

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Question 35/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

((ab)²) का विस्तार क्या है

What is expansion of ((ab)²)

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

गुणन पर घात दोनों पर लागू होता है / Exponent distributes over multiplication

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Question 36/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(2^5 \times 4^2\) का सरल रूप क्या है

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

Explanation opens after your attempt

Correct Answer

B. \(2^{10}\)

Explanation

Simple Explanation

4 को 2 की घात में बदलकर जोड़ते हैं / Convert base then apply exponent rules

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Question 37/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(\frac{8^2}{2^4}\) का मान क्या है

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

Explanation opens after your attempt

Correct Answer

A. 4

Explanation

Simple Explanation

आधार बदलकर घात सरल किया जाता है / Rewrite bases then simplify exponents

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Question 38/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(x^2 y^3\)²) का मान क्या है

What is value of (\(x^2 y^3\)²)

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

घात अंदर सभी पदों पर लागू होता है / Power distributes over product

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Question 39/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(3^{-1} \times 3^2\) का मान क्या है

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

Explanation opens after your attempt

Correct Answer

A. 3

Explanation

Simple Explanation

घात जोड़कर सरल किया जाता है / Add exponents for same base

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Question 40/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

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

Explanation opens after your attempt

Correct Answer

A. \(x^2\)

Explanation

Simple Explanation

ऋणात्मक घात पलट जाता है / Negative exponent becomes positive when inverted

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Question 41/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

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

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

समान आधार पर सभी घात जोड़ते हैं / Add all exponents for same base

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Question 42/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(x^0 + x^1\)) का मान क्या है

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

Explanation opens after your attempt

Correct Answer

A. 1+x

Explanation

Simple Explanation

\(x^0=1\) होता है / Zero exponent rule gives one

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Question 43/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

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

Explanation opens after your attempt

Correct Answer

A. \(10^3\)

Explanation

Simple Explanation

समान घात पर आधार गुणा होता है / Same exponent combines bases

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Question 44/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

Explanation

Simple Explanation

घात दोनों पर समान रूप से लागू होता है / Exponent applies to numerator and denominator

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Question 45/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

( (x y z)² ) का विस्तार क्या है

What is expansion of ( (x y z)² )

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

घात सभी गुणकों पर लागू होता है / Power distributes over all factors

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Question 46/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

\(4^{-1} + 2^{-1}\) का मान क्या है

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

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

ऋणात्मक घात भिन्न बनाते हैं / Convert negative exponents to fractions

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Question 47/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

(\(a^2 b^{-2}\)) का सरल रूप क्या है

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

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

ऋणात्मक घात हर में जाता है / Negative exponent shifts to denominator

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Question 48/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

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

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

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

घात घटाने का नियम लागू होता है / Subtract exponents in division

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Question 49/50 Expert Mathematics Number Systems Exponents Class 9 Level 6

( \(x^3\)⁰ ) का मान क्या है

What is value of ( \(x^3\)⁰ )

Explanation opens after your attempt

Correct Answer

A. 1

Explanation

Simple Explanation

कोई भी गैर शून्य पद शून्य घात पर 1 होता है / Any non zero expression to power zero is one

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

\(\frac{a^m}{a^m}\) का मान क्या है

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

Explanation opens after your attempt

Correct Answer

A. 1

Explanation

Simple Explanation

समान घात कट जाते हैं / Same exponents cancel out

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Class 9 Mathematics - Number Systems - Decimal representation Expert Quiz

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

\(3^{x} = 81\) में (x) क्या होगा

Simple Explanation

(\(a^2\)3) का मान क्या होगा

Simple Explanation

\(\sqrt{a^6}\) का सरल रूप क्या है

Simple Explanation

\(2^3 \times 2^4\) का परिणाम क्या है

Simple Explanation

(\(x^{1/2}\)4) का मान क्या होगा

Simple Explanation

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

Simple Explanation

\(\frac{x^8}{x^5}\) का मान क्या होगा

Simple Explanation

(\(a^2 b^3\)0) का मान क्या है

Simple Explanation

\(a^0\) का मान क्या होता है

Simple Explanation

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

Simple Explanation

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

Simple Explanation

(\(x^3\)2) का मान क्या होगा

Simple Explanation

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

Simple Explanation

(\(2^2\)3) का परिणाम क्या है

Simple Explanation

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

Simple Explanation

\(3^4 \times 3^1\) का मान क्या है

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

\(a^{-2}\) का अर्थ क्या है

Simple Explanation

( (27)^{2/3} ) का मान क्या है

Simple Explanation

\(x^{-3}\) का सरल रूप क्या है

Simple Explanation

( (64)^{1/3} ) का मान क्या है

Simple Explanation

\(\frac{1}{a^{-4}}\) का मान क्या है

Simple Explanation

(\(a^m\)^n = ?) का नियम क्या है

Simple Explanation

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

Simple Explanation

(\(a^{-1}\)3) का मान क्या होगा

Simple Explanation

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

Simple Explanation

(\(2^{-2}\)2) का परिणाम क्या है

Simple Explanation

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

Simple Explanation

((ab)2) का विस्तार क्या है

Simple Explanation

\(2^5 \times 4^2\) का सरल रूप क्या है

Simple Explanation

\(\frac{8^2}{2^4}\) का मान क्या है

Simple Explanation

(\(x^2 y^3\)2) का मान क्या है

Simple Explanation

\(3^{-1} \times 3^2\) का मान क्या है

Simple Explanation

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

(\(a^2\)³) का मान क्या होगा

(\(x^{1/2}\)⁴) का मान क्या होगा

(\(a^2 b^3\)⁰) का मान क्या है

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

(\(x^3\)²) का मान क्या होगा

(\(2^2\)³) का परिणाम क्या है

(\(a^{-1}\)³) का मान क्या होगा

(\(2^{-2}\)²) का परिणाम क्या है

((ab)²) का विस्तार क्या है

(\(x^2 y^3\)²) का मान क्या है

( (x y z)² ) का विस्तार क्या है

( \(x^3\)⁰ ) का मान क्या है