Exponents and Powers Practice Questions

Class 8 · Mathematics · 933 free MCQs with instant results and detailed explanations.

933

Total

304

Easy

465

Medium

164

Hard

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Topics in Exponents and Powers

Standard Form 340

Negative Exponents 278

Laws of Exponents 315

Sample Questions from Exponents and Powers

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Easy

What is the value of the expression 2^(-3)?

A. 1/8

B. 8

C. 1/2

D. 2

Show Answer & Explanation

Correct Answer: A

A negative exponent means the reciprocal of the base raised to the positive exponent. Hence, 2^(-3) = 1/(2^3) = 1/8.

Easy

What is the value of 2^(-3)?

A. 1/8

B. 8

C. 3/2

D. 1/2

Show Answer & Explanation

Correct Answer: A

The negative exponent means we take the reciprocal: 2^(-3) = 1/(2^3) = 1/8.

Easy

Which of the following is equivalent to x^(-4)?

A. 1/x^4

B. x^4

C. 1/x^(-4)

D. x^(4)

Show Answer & Explanation

Correct Answer: A

A negative exponent indicates the reciprocal: x^(-4) = 1/(x^4).

Medium

What is the value of 2^(-3)?

A. 0.125

B. 0.5

C. 8

D. 4

Show Answer & Explanation

Correct Answer: A

The negative exponent indicates a reciprocal. Thus, 2^(-3) = 1/(2^3) = 1/8 = 0.125.

Medium

Which of the following is equivalent to 5^(-2)?

A. 1/25

B. 25

C. 5

D. 1/5

Show Answer & Explanation

Correct Answer: A

5^(-2) = 1/(5^2) = 1/25.

Medium

Simplify the expression: 4^(-1) x 4^2.

A. 4

B. 1

C. 16

D. 0.25

Show Answer & Explanation

Correct Answer: A

Using laws of exponents, 4^(-1) x 4^2 = 4^(2 - 1) = 4^1 = 4.

Medium

Which of the following expressions equals 1/(3^4)?

A. 3^(-4)

B. 3^4

C. 9^(-2)

D. 3^(-2)

Show Answer & Explanation

Correct Answer: A

The expression 1/(3^4) can be rewritten as 3^(-4) using the rule of negative exponents.

Hard

What is the value of 2^(-3)?

A. 1/8

B. 8

C. 3/2

D. 1/3

Show Answer & Explanation

Correct Answer: A

Negative exponent indicates the reciprocal; 2^(-3) = 1/(2^3) = 1/8.

Hard

Which of the following is equal to x^(-2) * x^3?

A. x^1

B. x^5

C. x^(-5)

D. x^0

Show Answer & Explanation

Correct Answer: A

When multiplying with the same base, we add the exponents: (-2) + 3 = 1.

Q10

Hard

If a^(-m) = 1/(a^m), what is the value of (2^(-4))^2?

A. 1/16

B. 16

C. 1/8

D. 8

Show Answer & Explanation

Correct Answer: A

First apply the power of a power rule: (2^(-4))^2 = 2^(-8) = 1/(2^8) = 1/256.

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Exponents and Powers — Class 8 Mathematics Practice Questions Online

This page contains 933 practice MCQs for the chapter Exponents and Powers in Class 8 Mathematics. The questions are organized by difficulty — 304 easy, 465 medium, 164 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.