Chapter 2 · Class 8 ICSE · MCQ Test
Exponents & Powers MCQ Test — Class 8 ICSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Exponents & Powers — MCQ Questions
1What is 2⁵?
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Answer: 32
Hint: 2⁵ means 2 multiplied by itself 5 times.
Solution:
2⁵ means: — 2 × 2 × 2 × 2 × 2
Calculate step by step: — 4 × 4 × 2 = 32
2Simplify: 3² × 3³
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Answer: 3⁵
Hint: When multiplying powers with the same base, add the exponents.
Solution:
Law of exponents: — aᵐ × aⁿ = aᵐ⁺ⁿ
Apply: — 3² × 3³ = 3²⁺³ = 3⁵
3What is the value of 5⁰?
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Answer: 1
Hint: Any non-zero number raised to the power 0 equals a specific value.
Solution:
Law of exponents: — a⁰ = 1 (for any a ≠ 0)
Therefore: — 5⁰ = 1
4Simplify: 7⁸ ÷ 7⁵
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Answer: 7³
Hint: When dividing powers with the same base, subtract the exponents.
Solution:
Law of exponents: — aᵐ ÷ aⁿ = aᵐ⁻ⁿ
Apply: — 7⁸ ÷ 7⁵ = 7⁸⁻⁵ = 7³
5What is (2³)²?
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Answer: 2⁶
Hint: When raising a power to a power, multiply the exponents.
Solution:
Law of exponents: — (aᵐ)ⁿ = aᵐˣⁿ
Apply: — (2³)² = 2³ˣ² = 2⁶ = 64
6What is 2⁻¹?
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Answer: 1/2
Hint: A negative exponent means the reciprocal.
Solution:
Negative exponent: — a⁻ⁿ = 1/aⁿ
Apply: — 2⁻¹ = 1/2¹ = 1/2
7Express 10000 as a power of 10.
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Answer: 10⁴
Hint: Count the number of zeros in 10000.
Solution:
10000 = 10 × 10 × 10 × 10
That is 4 factors of 10: — 10000 = 10⁴
8What is (-3)²?
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Answer: 9
Hint: When a negative number is raised to an even power, the result is positive.
Solution:
Calculate: — (-3)² = (-3) × (-3) = 9
Negative × Negative = Positive
9What is (-2)³?
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Answer: -8
Hint: When a negative number is raised to an odd power, the result is negative.
Solution:
Calculate: — (-2)³ = (-2) × (-2) × (-2) = 4 × (-2) = -8
Odd exponent on a negative base gives a negative result.
10Simplify: (2 × 3)⁴
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Answer: 2⁴ × 3⁴
Hint: When a product is raised to a power, each factor gets that power.
Solution:
Law of exponents: — (a × b)ⁿ = aⁿ × bⁿ
Apply: — (2 × 3)⁴ = 2⁴ × 3⁴ = 16 × 81 = 1296
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Tips for Exponents & Powers MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Exponents & Powers MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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