Concept-wise Practice

power law MCQ Questions for Class 10

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

Practice Questions

6 questions tagged with power law.

(\(r^3\)4) का सरल रूप क्या है?

What is the simplified form of (\(r^3\)4)?

Explanation opens after your attempt
Correct Answer

B. \(r^{12}\)

Step 1

Concept

In a power of a power, \(3\cdot4=12\). Hence (\(r^3\)4=r^{12}).

Step 2

Why this answer is correct

The correct answer is B. \(r^{12}\). In a power of a power, \(3\cdot4=12\). Hence (\(r^3\)4=r^{12}).

Step 3

Exam Tip

घात की घात में \(3\cdot4=12\) होता है। इसलिए (\(r^3\)4=r^{12}) है।

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(\(s^5\)2) का सरल रूप क्या है?

What is the simplified form of (\(s^5\)2)?

Explanation opens after your attempt
Correct Answer

B. \(s^{10}\)

Step 1

Concept

In a power of a power, \(5\cdot2=10\). Therefore (\(s^5\)2=s^{10}).

Step 2

Why this answer is correct

The correct answer is B. \(s^{10}\). In a power of a power, \(5\cdot2=10\). Therefore (\(s^5\)2=s^{10}).

Step 3

Exam Tip

घात की घात में \(5\cdot2=10\) होता है। इसलिए (\(s^5\)2=s^{10}) है।

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(\(2^4\)2) का सरल रूप क्या है?

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

Explanation opens after your attempt
Correct Answer

B. \(2^8\)

Step 1

Concept

In a power of a power, exponents are multiplied, so (\(2^4\)2=28). Adding the exponents here is a mistake.

Step 2

Why this answer is correct

The correct answer is B. \(2^8\). In a power of a power, exponents are multiplied, so (\(2^4\)2=28). Adding the exponents here is a mistake.

Step 3

Exam Tip

घात की घात में घातों का गुणा होता है इसलिए (\(2^4\)2=28)। यहाँ घातों को जोड़ना गलती है।

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(\(k^2\)5) का सरल रूप क्या है?

What is the simplified form of (\(k^2\)5)?

Explanation opens after your attempt
Correct Answer

B. \(k^{10}\)

Step 1

Concept

In a power of a power, \(2\cdot5=10\). Therefore (\(k^2\)5=k^{10}).

Step 2

Why this answer is correct

The correct answer is B. \(k^{10}\). In a power of a power, \(2\cdot5=10\). Therefore (\(k^2\)5=k^{10}).

Step 3

Exam Tip

घात की घात में \(2\cdot5=10\) होता है। इसलिए (\(k^2\)5=k^{10}) है।

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(\(z^4\)3) का सरल रूप क्या है?

What is the simplified form of (\(z^4\)3)?

Explanation opens after your attempt
Correct Answer

B. \(z^{12}\)

Step 1

Concept

In a power of a power, \(4\cdot3=12\). Therefore (\(z^4\)3=z^{12}).

Step 2

Why this answer is correct

The correct answer is B. \(z^{12}\). In a power of a power, \(4\cdot3=12\). Therefore (\(z^4\)3=z^{12}).

Step 3

Exam Tip

घात की घात में \(4\cdot3=12\) होता है। इसलिए (\(z^4\)3=z^{12}) है।

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(\(3^2\)4) का सरल रूप क्या है?

What is the simplified form of (\(3^2\)4)?

Explanation opens after your attempt
Correct Answer

B. \(3^8\)

Step 1

Concept

In a power of a power, exponents are multiplied, so (\(3^2\)4=3^{2\cdot4}=38). Adding the exponents here is a common mistake.

Step 2

Why this answer is correct

The correct answer is B. \(3^8\). In a power of a power, exponents are multiplied, so (\(3^2\)4=3^{2\cdot4}=38). Adding the exponents here is a common mistake.

Step 3

Exam Tip

घात की घात में घातों का गुणा होता है इसलिए (\(3^2\)4=3^{2\cdot4}=38)। ऐसी स्थिति में घातों को जोड़ना सामान्य गलती है।

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