Year 8 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 8 indices & scientific notation worksheet.

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Year 8 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x⁴ × x⁷

Answer: x¹¹

Add the indices: 4 + 7 = 11

2.Simplify: x³ × x⁴

Answer: x⁷

Add the indices: 3 + 4 = 7

3.Simplify: x⁶ × x⁹

Answer: x¹⁵

Add the indices: 6 + 9 = 15

4.Simplify: x⁵ ÷ x²

Answer: x³

Subtract the indices: 5 − 2 = 3

5.Simplify: x⁷ × x⁷

Answer: x¹⁴

Add the indices: 7 + 7 = 14

6.Simplify: x¹¹ ÷ x⁹

Answer: x²

Subtract the indices: 11 − 9 = 2

7.Simplify: x¹¹ ÷ x⁸

Answer: x³

Subtract the indices: 11 − 8 = 3

8.Simplify: x¹¹ ÷ x⁴

Answer: x⁷

Subtract the indices: 11 − 4 = 7

9.Simplify: x⁷ ÷ x³

Answer: x⁴

Subtract the indices: 7 − 3 = 4

10.Simplify: x² × x⁶

Answer: x⁸

Add the indices: 2 + 6 = 8

11.Simplify: x¹² ÷ x⁹

Answer: x³

Subtract the indices: 12 − 9 = 3

12.Simplify: x⁴ × x⁶

Answer: x¹⁰

Add the indices: 4 + 6 = 10

13.Simplify: x¹¹ ÷ x⁷

Answer: x⁴

Subtract the indices: 11 − 7 = 4

14.Simplify: x⁶ ÷ x³

Answer: x³

Subtract the indices: 6 − 3 = 3

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