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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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Indices & Scientific Notation

Year 8 Index Laws Worksheet — Level 1 — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x⁷ ÷ x³

Answer: x⁴

Subtract the indices: 7 − 3 = 4

2.Simplify: x⁴ × x⁶

Answer: x¹⁰

Add the indices: 4 + 6 = 10

3.Simplify: x⁹ ÷ x⁵

Answer: x⁴

Subtract the indices: 9 − 5 = 4

4.Simplify: x⁵ × x⁸

Answer: x¹³

Add the indices: 5 + 8 = 13

5.Simplify: x⁵ × x³

Answer: x⁸

Add the indices: 5 + 3 = 8

6.Simplify: x⁷ ÷ x⁴

Answer: x³

Subtract the indices: 7 − 4 = 3

7.Simplify: x³ × x⁹

Answer: x¹²

Add the indices: 3 + 9 = 12

8.Simplify: x⁴ ÷ x³

Answer: x¹

Subtract the indices: 4 − 3 = 1

9.Simplify: x⁶ ÷ x³

Answer: x³

Subtract the indices: 6 − 3 = 3

10.Simplify: x³ × x²

Answer: x⁵

Add the indices: 3 + 2 = 5

11.Simplify: x⁷ ÷ x⁵

Answer: x²

Subtract the indices: 7 − 5 = 2

12.Simplify: x¹¹ ÷ x²

Answer: x⁹

Subtract the indices: 11 − 2 = 9

13.Simplify: x¹² ÷ x⁸

Answer: x⁴

Subtract the indices: 12 − 8 = 4

14.Simplify: x⁵ ÷ x⁴

Answer: x¹

Subtract the indices: 5 − 4 = 1

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