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: x⁸ × x⁷

Answer: x¹⁵

Add the indices: 8 + 7 = 15

2.Simplify: x² × x⁸

Answer: x¹⁰

Add the indices: 2 + 8 = 10

3.Simplify: x² × x⁵

Answer: x⁷

Add the indices: 2 + 5 = 7

4.Simplify: x⁶ × x⁶

Answer: x¹²

Add the indices: 6 + 6 = 12

5.Simplify: x¹¹ ÷ x⁸

Answer: x³

Subtract the indices: 11 − 8 = 3

6.Simplify: x⁹ × x⁵

Answer: x¹⁴

Add the indices: 9 + 5 = 14

7.Simplify: x⁹ ÷ x²

Answer: x⁷

Subtract the indices: 9 − 2 = 7

8.Simplify: x³ × x⁹

Answer: x¹²

Add the indices: 3 + 9 = 12

9.Simplify: x¹² ÷ x³

Answer: x⁹

Subtract the indices: 12 − 3 = 9

10.Simplify: x¹⁰ ÷ x⁷

Answer: x³

Subtract the indices: 10 − 7 = 3

11.Simplify: x⁹ ÷ x⁷

Answer: x²

Subtract the indices: 9 − 7 = 2

12.Simplify: x¹⁰ ÷ x⁴

Answer: x⁶

Subtract the indices: 10 − 4 = 6

13.Simplify: x⁸ × x³

Answer: x¹¹

Add the indices: 8 + 3 = 11

14.Simplify: x⁸ ÷ x⁴

Answer: x⁴

Subtract the indices: 8 − 4 = 4

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