Year 7 Index Laws Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 7 indices & scientific notation worksheet.

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Year 7 · Mathematics · Indices & Scientific Notation

Year 7 Index Laws Worksheet — Level 1 — Answers

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Use the index laws. Write answers with positive indices.

1.Simplify: x⁷ × x⁴

Answer: x¹¹

Add the indices: 7 + 4 = 11

2.Simplify: x⁷ ÷ x²

Answer: x⁵

Subtract the indices: 7 − 2 = 5

3.Simplify: x⁶ × x²

Answer: x⁸

Add the indices: 6 + 2 = 8

4.Simplify: x⁷ ÷ x⁴

Answer: x³

Subtract the indices: 7 − 4 = 3

5.Simplify: x² × x⁶

Answer: x⁸

Add the indices: 2 + 6 = 8

6.Simplify: x⁶ × x⁹

Answer: x¹⁵

Add the indices: 6 + 9 = 15

7.Simplify: x⁹ ÷ x⁶

Answer: x³

Subtract the indices: 9 − 6 = 3

8.Simplify: x⁸ ÷ x²

Answer: x⁶

Subtract the indices: 8 − 2 = 6

9.Simplify: x⁴ × x⁴

Answer: x⁸

Add the indices: 4 + 4 = 8

10.Simplify: x¹¹ ÷ x⁷

Answer: x⁴

Subtract the indices: 11 − 7 = 4

11.Simplify: x⁹ ÷ x⁷

Answer: x²

Subtract the indices: 9 − 7 = 2

12.Simplify: x⁴ × x⁸

Answer: x¹²

Add the indices: 4 + 8 = 12

13.Simplify: x⁷ × x⁹

Answer: x¹⁶

Add the indices: 7 + 9 = 16

14.Simplify: x³ × x⁶

Answer: x⁹

Add the indices: 3 + 6 = 9

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