Exponents
Grades 5 to 8 (Years 5 to 9 in England) · 16 questions · Common Core: 6.EE.A.1, 8.EE.A.1 · England: KS3 Number, GCSE Foundation Number, Y6 Number – multiplication and division
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Date
Score/ 16
Question 1
A square patio has an area of 64 m². How long is each side?
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Question 2
Mei says 2³ = 6. What mistake did Mei make, and what is the correct value?
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Question 3
Simplify (4x³)².
- A. 16x⁵
- B. 16x⁶
- C. 8x⁶
- D. 4x⁶
Question 4
Work out 3⁷ ÷ 3⁶ as a number.
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Question 5
Lucia says 2³ × 2⁵ = 4⁸. Work out the correct value of 2³ × 2⁵ as a number.
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Question 6
Write 6 × 6 × 6 × 6 × 6 as a power (for example 4^3).
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Question 7
2² + 2³ = ?
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Question 8
Write 4² as a power of 2. What is the exponent?
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Question 9
Evaluate 5².
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Question 10
Simplify 20x⁷ ÷ 5x⁴.
- A. 4x¹¹
- B. 4x²
- C. 15x³
- D. 4x³
Question 11
4⁵ × 4² = 4ⁿ. What is n?
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Question 12
Evaluate 5² + 5 × 2.
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Question 13
Simplify 6y⁷ × 2y⁴.
- A. 8y²⁸
- B. 12y¹¹
- C. 12y²⁸
- D. 8y¹¹
Question 14
5¹¹ ÷ 5⁷ = 5ᵏ. What is k?
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Question 15
In 9⁴, what is the base?
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Question 16
(6²)³ = 6ᵏ. What is k?
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