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Year 7 Index Laws Worksheet — Level 1 (Set 3) — Answers

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

Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Indices & Scientific Notation

Year 7 Index Laws Worksheet — Level 1 (Set 3) — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x9 × x3

Answer: x12

Add the indices: 9 + 3 = 12

2.Simplify: x2 × x6

Answer: x8

Add the indices: 2 + 6 = 8

3.Simplify: x10 ÷ x9

Answer: x1

Subtract the indices: 10 − 9 = 1

4.Simplify: x7 ÷ x3

Answer: x4

Subtract the indices: 7 − 3 = 4

5.Simplify: x2 × x4

Answer: x6

Add the indices: 2 + 4 = 6

6.Simplify: x10 ÷ x7

Answer: x3

Subtract the indices: 10 − 7 = 3

7.Simplify: x11 ÷ x8

Answer: x3

Subtract the indices: 11 − 8 = 3

8.Simplify: x8 ÷ x5

Answer: x3

Subtract the indices: 8 − 5 = 3

9.Simplify: x11 ÷ x9

Answer: x2

Subtract the indices: 11 − 9 = 2

10.Simplify: x9 ÷ x8

Answer: x1

Subtract the indices: 9 − 8 = 1

11.Simplify: x9 ÷ x5

Answer: x4

Subtract the indices: 9 − 5 = 4

12.Simplify: x5 × x3

Answer: x8

Add the indices: 5 + 3 = 8

13.Simplify: x10 ÷ x6

Answer: x4

Subtract the indices: 10 − 6 = 4

14.Simplify: x9 × x9

Answer: x18

Add the indices: 9 + 9 = 18

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