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
Which statement is correct?
- A. x⁴ × x³ = x¹²
- B. x⁴ × x³ = x⁷
- C. x⁴ ÷ x³ = x⁷
- D. (x⁴)³ = x⁷
Question 2
Work out (2³)² ÷ 2³. Give a whole number or fraction.
Answer
Question 3
(x² × x³) ÷ x¹ = xᵏ. What is k?
Answer
Question 4
Which statement is correct?
- A. x² ÷ x² = x¹
- B. (x³)⁵ = x⁸
- C. x² × x² = x⁴
Question 5
Work out (2⁴)³ ÷ 2⁵. Give a whole number or fraction.
Answer
Question 6
(x² × x²) ÷ x⁵ = xᵏ. What is k?
Answer
Question 7
Which statement is correct?
- A. (x⁵)³ = x⁸
- B. x⁵ × x² = x¹⁰
- C. x⁵ × x² = x⁷
- D. x⁵ ÷ x² = x⁷
Question 8
Work out (2³)³ ÷ 2⁹. Give a whole number or fraction.
Answer
Question 9
(x⁶ × x³) ÷ x⁵ = xᵏ. What is k?
Answer
Question 10
Which statement is correct?
- A. (x⁵)⁵ = x¹⁰
- B. x⁵ × x⁴ = x⁹
- C. x⁵ ÷ x⁴ = x⁹
- D. x⁵ × x⁴ = x²⁰
Question 11
Work out (2³)³ ÷ 2². Give a whole number or fraction.
Answer
Question 12
(x² × x²) ÷ x² = xᵏ. What is k?
Answer
Question 13
Which statement is correct?
- A. x⁴ ÷ x³ = x⁷
- B. x⁴ × x³ = x⁷
- C. x⁴ × x³ = x¹²
- D. (x⁴)² = x⁶
Question 14
Work out (2²)³ ÷ 2⁴. Give a whole number or fraction.
Answer
Question 15
(x⁵ × x³) ÷ x⁴ = xᵏ. What is k?
Answer
Question 16
Which statement is correct?
- A. x⁴ × x⁴ = x¹⁶
- B. x⁴ × x⁴ = x⁸
- C. (x³)⁴ = x⁷
- D. x⁴ ÷ x⁴ = x¹
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