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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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Indices & Scientific Notation

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

Use the index laws. Write answers with positive indices.

1.Simplify: x⁵ × x⁵

Answer: x¹⁰

Add the indices: 5 + 5 = 10

2.Simplify: x⁴ ÷ x²

Answer: x²

Subtract the indices: 4 − 2 = 2

3.Simplify: x⁵ ÷ x²

Answer: x³

Subtract the indices: 5 − 2 = 3

4.Simplify: x¹² ÷ x⁹

Answer: x³

Subtract the indices: 12 − 9 = 3

5.Simplify: x⁸ ÷ x⁶

Answer: x²

Subtract the indices: 8 − 6 = 2

6.Simplify: x⁷ ÷ x³

Answer: x⁴

Subtract the indices: 7 − 3 = 4

7.Simplify: x⁹ × x⁵

Answer: x¹⁴

Add the indices: 9 + 5 = 14

8.Simplify: x⁹ ÷ x⁵

Answer: x⁴

Subtract the indices: 9 − 5 = 4

9.Simplify: x⁹ × x⁴

Answer: x¹³

Add the indices: 9 + 4 = 13

10.Simplify: x⁵ × x⁴

Answer: x⁹

Add the indices: 5 + 4 = 9

11.Simplify: x¹⁰ ÷ x⁷

Answer: x³

Subtract the indices: 10 − 7 = 3

12.Simplify: x⁹ × x⁶

Answer: x¹⁵

Add the indices: 9 + 6 = 15

13.Simplify: x¹² ÷ x⁷

Answer: x⁵

Subtract the indices: 12 − 7 = 5

14.Simplify: x⁸ ÷ x³

Answer: x⁵

Subtract the indices: 8 − 3 = 5

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