Year 9 Index Laws Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Indices & Scientific Notation

Year 9 Index Laws Worksheet — Level 1 — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x⁴ × x⁶

Answer: x¹⁰

Add the indices: 4 + 6 = 10

2.Simplify: x¹⁰ ÷ x³

Answer: x⁷

Subtract the indices: 10 − 3 = 7

3.Simplify: x³ × x⁹

Answer: x¹²

Add the indices: 3 + 9 = 12

4.Simplify: x⁵ ÷ x²

Answer: x³

Subtract the indices: 5 − 2 = 3

5.Simplify: x⁹ ÷ x⁴

Answer: x⁵

Subtract the indices: 9 − 4 = 5

6.Simplify: x¹⁰ ÷ x²

Answer: x⁸

Subtract the indices: 10 − 2 = 8

7.Simplify: x⁸ ÷ x⁷

Answer: x¹

Subtract the indices: 8 − 7 = 1

8.Simplify: x⁸ × x⁷

Answer: x¹⁵

Add the indices: 8 + 7 = 15

9.Simplify: x¹⁰ ÷ x⁶

Answer: x⁴

Subtract the indices: 10 − 6 = 4

10.Simplify: x⁹ × x⁶

Answer: x¹⁵

Add the indices: 9 + 6 = 15

11.Simplify: x⁵ × x²

Answer: x⁷

Add the indices: 5 + 2 = 7

12.Simplify: x¹¹ ÷ x⁴

Answer: x⁷

Subtract the indices: 11 − 4 = 7

13.Simplify: x⁶ ÷ x⁵

Answer: x¹

Subtract the indices: 6 − 5 = 1

14.Simplify: x⁹ × x⁹

Answer: x¹⁸

Add the indices: 9 + 9 = 18

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