Class 9 Mathematics - Introduction to Polynomials - Definition of polynomial Expert Quiz

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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

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\(2^x = 32\) 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

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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।

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\(x^5 \times x^2\) 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

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\(3^{x} = 81\) 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

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(\(a^2\)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

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\(\sqrt{a^6}\) 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

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\(2^3 \times 2^4\) 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

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(\(x^{1/2}\)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

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\(\frac{a^6}{a^2}\) 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

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\(\frac{x^8}{x^5}\) 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

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(\(a^2 b^3\)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

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\(a^0\) 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

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\(\frac{5^0 + 2^0}{3^0}\) 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

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( \(x^2\)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

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(\(x^3\)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

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

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(\(2^2\)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

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( \(2^3 \cdot 4^{-1}\) ) 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

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\(3^4 \times 3^1\) 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

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

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\(\frac{2^7}{2^3}\) 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

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(\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

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\(a^{-2}\) 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

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( (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

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\(x^{-3}\) 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

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( (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

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\(\frac{1}{a^{-4}}\) 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

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(\(a^m\)^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

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

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(\(a^{-1}\)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

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

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(\(2^{-2}\)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

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

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((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

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\(2^5 \times 4^2\) 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

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\(\frac{8^2}{2^4}\) 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

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(\(x^2 y^3\)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

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

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\(\frac{1}{x^{-2}}\) 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

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\(a^m \times a^n \times a^p\) 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

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(\(x^0 + x^1\)) 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

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(\(2^3 \times 5^3\)) 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

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

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( (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

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\(4^{-1} + 2^{-1}\) 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

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

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

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( \(x^3\)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

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\(\frac{a^m}{a^m}\) का मान क्या है

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

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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

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FAQs

Class 9 Mathematics Quiz FAQs

How many questions are in this quiz?

This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

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.