Year 8 Index Laws Worksheet — Level 1 — Answers

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

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Year 8 · Mathematics · Indices & Scientific Notation

Year 8 Index Laws Worksheet — Level 1 — Answers

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Use the index laws. Write answers with positive indices.

1.Simplify: x⁵ × x⁸

Answer: x¹³

Add the indices: 5 + 8 = 13

2.Simplify: x¹¹ ÷ x⁹

Answer: x²

Subtract the indices: 11 − 9 = 2

3.Simplify: x¹² ÷ x²

Answer: x¹⁰

Subtract the indices: 12 − 2 = 10

4.Simplify: x⁹ × x³

Answer: x¹²

Add the indices: 9 + 3 = 12

5.Simplify: x¹⁰ ÷ x⁸

Answer: x²

Subtract the indices: 10 − 8 = 2

6.Simplify: x¹⁰ ÷ x⁷

Answer: x³

Subtract the indices: 10 − 7 = 3

7.Simplify: x⁹ × x⁶

Answer: x¹⁵

Add the indices: 9 + 6 = 15

8.Simplify: x⁷ ÷ x⁴

Answer: x³

Subtract the indices: 7 − 4 = 3

9.Simplify: x¹⁰ ÷ x⁹

Answer: x¹

Subtract the indices: 10 − 9 = 1

10.Simplify: x⁶ × x⁴

Answer: x¹⁰

Add the indices: 6 + 4 = 10

11.Simplify: x⁴ × x⁷

Answer: x¹¹

Add the indices: 4 + 7 = 11

12.Simplify: x¹⁰ ÷ x⁴

Answer: x⁶

Subtract the indices: 10 − 4 = 6

13.Simplify: x⁷ ÷ x⁵

Answer: x²

Subtract the indices: 7 − 5 = 2

14.Simplify: x⁸ × x⁹

Answer: x¹⁷

Add the indices: 8 + 9 = 17

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