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Combine the laws of exponents

8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.A.1 · England: KS3 Number, GCSE Foundation Number

Name

Date

Score/ 16

Question 1
(x² × x⁶) ÷ x¹ = xᵏ. What is k?
Answer
2
Question 2
Which statement is correct?
- A. x² × x⁵ = x¹⁰
- B. x² ÷ x⁵ = x⁷
- C. (x⁵)⁴ = x⁹
- D. x² × x⁵ = x⁷
Question 3
Work out (2³)² ÷ 2⁶. Give a whole number or fraction.
Answer
Question 4
(x⁶ × x⁵) ÷ x⁵ = xᵏ. What is k?
Answer
5
Question 5
Which statement is correct?
- A. (x³)⁵ = x⁸
- B. x⁵ × x⁵ = x²⁵
- C. x⁵ × x⁵ = x¹⁰
- D. x⁵ ÷ x⁵ = x¹
Question 6
Work out (2²)² ÷ 2⁶. Give a whole number or fraction.
Answer(as a fraction)
Question 7
(x⁶ × x⁵) ÷ x¹ = xᵏ. What is k?
Answer
8
Question 8
Which statement is correct?
- A. x² × x³ = x⁵
- B. x² ÷ x³ = x⁵
- C. x² × x³ = x⁶
- D. (x²)³ = x⁵
Question 9
Work out (2³)³ ÷ 2⁷. Give a whole number or fraction.
Answer
Question 10
(x³ × x⁵) ÷ x³ = xᵏ. What is k?
Answer
11
Question 11
Which statement is correct?
- A. x³ × x⁵ = x¹⁵
- B. x³ ÷ x⁵ = x⁸
- C. x³ × x⁵ = x⁸
- D. (x⁴)⁵ = x⁹
Question 12
Work out (2²)² ÷ 2⁶. Give a whole number or fraction.
Answer(as a fraction)
Question 13
(x² × x⁵) ÷ x⁵ = xᵏ. What is k?
Answer
14
Question 14
Which statement is correct?
- A. (x²)⁴ = x⁶
- B. x⁵ × x⁵ = x¹⁰
- C. x⁵ ÷ x⁵ = x¹
- D. x⁵ × x⁵ = x²⁵
Question 15
Work out (2²)² ÷ 2⁷. Give a whole number or fraction.
Answer(as a fraction)
Question 16
(x⁶ × x²) ÷ x⁴ = xᵏ. What is k?
Answer

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Answer key: Combine the laws of exponents