Concept-wise Practice

product power MCQ Questions for Class 10

product power 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 product power.

((ab)5) का सही विस्तार क्या है?

What is the correct expansion of ((ab)5)?

Explanation opens after your attempt
Correct Answer

A. \(a^5b^5\)

Step 1

Concept

The power of a product applies to both factors. Hence ((ab)5=a-5b-5).

Step 2

Why this answer is correct

The correct answer is A. \(a^5b^5\). The power of a product applies to both factors. Hence ((ab)5=a-5b-5).

Step 3

Exam Tip

गुणनफल की घात दोनों गुणकों पर लगती है। इसलिए ((ab)5=a-5b-5) है।

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(\(6\cdot7\)2) का सही रूप क्या है?

What is the correct form of (\(6\cdot7\)2)?

Explanation opens after your attempt
Correct Answer

A. \(6^2\cdot7^2\)

Step 1

Concept

The power of a product applies to every factor. Therefore (\(6\cdot7\)2=62\cdot72).

Step 2

Why this answer is correct

The correct answer is A. \(6^2\cdot7^2\). The power of a product applies to every factor. Therefore (\(6\cdot7\)2=62\cdot72).

Step 3

Exam Tip

गुणनफल की घात हर गुणक पर लगती है। इसलिए (\(6\cdot7\)2=62\cdot72) है।

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AI Video Prompt 16:9 + 9:16

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((mn)3) का सही विस्तार क्या है?

What is the correct expansion of ((mn)3)?

Explanation opens after your attempt
Correct Answer

A. \(m^3n^3\)

Step 1

Concept

The power of a product applies to both factors. Hence ((mn)3=m-3n-3).

Step 2

Why this answer is correct

The correct answer is A. \(m^3n^3\). The power of a product applies to both factors. Hence ((mn)3=m-3n-3).

Step 3

Exam Tip

गुणनफल की घात दोनों कारकों पर लगती है। इसलिए ((mn)3=m-3n-3) है।

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AI Video Prompt 16:9 + 9:16

Is question ka premium MCQ video banane ke liye ready prompt. Copy karke Sora, Runway, Canva AI, CapCut AI, ChatGPT video workflow ya editor me use karein.

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(\(3\cdot4\)2) का सही रूप क्या है?

What is the correct form of (\(3\cdot4\)2)?

Explanation opens after your attempt
Correct Answer

A. \(3^2\cdot4^2\)

Step 1

Concept

The power of a product applies to every factor, so (\(3\cdot4\)2=32\cdot42). Apply the exponent to all factors inside the bracket.

Step 2

Why this answer is correct

The correct answer is A. \(3^2\cdot4^2\). The power of a product applies to every factor, so (\(3\cdot4\)2=32\cdot42). Apply the exponent to all factors inside the bracket.

Step 3

Exam Tip

गुणनफल की घात हर गुणक पर लगती है इसलिए (\(3\cdot4\)2=32\cdot42)। कोष्ठक के सभी गुणकों पर घात लगाएँ।

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AI Video Prompt 16:9 + 9:16

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(\(2\cdot5\)3) का सरल रूप क्या है?

What is the simplified form of (\(2\cdot5\)3)?

Explanation opens after your attempt
Correct Answer

A. \(2^3\cdot5^3\)

Step 1

Concept

The power of a product applies to both factors, so (\(2\cdot5\)3=23\cdot53). Apply the outside exponent to every factor inside the bracket.

Step 2

Why this answer is correct

The correct answer is A. \(2^3\cdot5^3\). The power of a product applies to both factors, so (\(2\cdot5\)3=23\cdot53). Apply the outside exponent to every factor inside the bracket.

Step 3

Exam Tip

गुणनफल की घात दोनों गुणकों पर लगती है इसलिए (\(2\cdot5\)3=23\cdot53)। ब्रैकेट की घात हर गुणक पर लगाएँ।

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AI Video Prompt 16:9 + 9:16

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