Concept-wise Practice

same exponent MCQ Questions for Class 10

same exponent se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

5 questions tagged with same exponent.

\(\frac{18^2}{6^2}\) का सरल रूप क्या है?

What is the simplified form of \(\frac{18^2}{6^2}\)?

Explanation opens after your attempt
Correct Answer

A. \(3^2\)

Step 1

Concept

With equal exponents, (\frac{182}{62}=\left\(\frac{18}{6}\right\)2=32). Simplify equal powers together.

Step 2

Why this answer is correct

The correct answer is A. \(3^2\). With equal exponents, (\frac{182}{62}=\left\(\frac{18}{6}\right\)2=32). Simplify equal powers together.

Step 3

Exam Tip

समान घात होने पर (\frac{182}{62}=\left\(\frac{18}{6}\right\)2=32)। समान घात को साथ में सरल करें।

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\(6^2\cdot2^2\) का संक्षिप्त रूप क्या है?

What is the compact form of \(6^2\cdot2^2\)?

Explanation opens after your attempt
Correct Answer

B. \(12^2\)

Step 1

Concept

When exponents are equal, bases can be multiplied. Hence (62\cdot22=\(6\cdot2\)2=122).

Step 2

Why this answer is correct

The correct answer is B. \(12^2\). When exponents are equal, bases can be multiplied. Hence (62\cdot22=\(6\cdot2\)2=122).

Step 3

Exam Tip

समान घात होने पर आधारों का गुणा किया जा सकता है। इसलिए (62\cdot22=\(6\cdot2\)2=122) है।

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\(\frac{12^3}{3^3}\) का सरल रूप क्या है?

What is the simplified form of \(\frac{12^3}{3^3}\)?

Explanation opens after your attempt
Correct Answer

A. \(4^3\)

Step 1

Concept

With equal exponents, (\frac{123}{33}=\left\(\frac{12}{3}\right\)3=43). Simplify equal powers together.

Step 2

Why this answer is correct

The correct answer is A. \(4^3\). With equal exponents, (\frac{123}{33}=\left\(\frac{12}{3}\right\)3=43). Simplify equal powers together.

Step 3

Exam Tip

समान घात होने पर (\frac{123}{33}=\left\(\frac{12}{3}\right\)3=43)। समान घात को साथ में सरल करें।

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\(4^2\cdot5^2\) का संक्षिप्त रूप क्या है?

What is the compact form of \(4^2\cdot5^2\)?

Explanation opens after your attempt
Correct Answer

B. \(20^2\)

Step 1

Concept

When exponents are equal, bases can be multiplied. Hence (42\cdot52=\(4\cdot5\)2=202).

Step 2

Why this answer is correct

The correct answer is B. \(20^2\). When exponents are equal, bases can be multiplied. Hence (42\cdot52=\(4\cdot5\)2=202).

Step 3

Exam Tip

समान घात होने पर आधारों को गुणा कर सकते हैं। इसलिए (42\cdot52=\(4\cdot5\)2=202) है।

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\(2^3\cdot3^3\) का सही संक्षिप्त रूप क्या है?

What is the correct compact form of \(2^3\cdot3^3\)?

Explanation opens after your attempt
Correct Answer

B. \(6^3\)

Step 1

Concept

When exponents are the same, bases can be multiplied, so (23\cdot33=\(2\cdot3\)3=63). This rule applies for equal exponents.

Step 2

Why this answer is correct

The correct answer is B. \(6^3\). When exponents are the same, bases can be multiplied, so (23\cdot33=\(2\cdot3\)3=63). This rule applies for equal exponents.

Step 3

Exam Tip

समान घात होने पर आधारों का गुणन किया जा सकता है इसलिए (23\cdot33=\(2\cdot3\)3=63)। यह नियम समान घात पर लागू होता है।

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