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Year 9 Index Laws Worksheet — Level 1 — Answers

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

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: x10 ÷ x6

Answer: x4

Subtract the indices: 10 − 6 = 4

2.Simplify: x5 × x6

Answer: x11

Add the indices: 5 + 6 = 11

3.Simplify: x10 ÷ x8

Answer: x2

Subtract the indices: 10 − 8 = 2

4.Simplify: x13 ÷ x9

Answer: x4

Subtract the indices: 13 − 9 = 4

5.Simplify: x10 ÷ x9

Answer: x1

Subtract the indices: 10 − 9 = 1

6.Simplify: x4 × x7

Answer: x11

Add the indices: 4 + 7 = 11

7.Simplify: x3 × x2

Answer: x5

Add the indices: 3 + 2 = 5

8.Simplify: x10 ÷ x3

Answer: x7

Subtract the indices: 10 − 3 = 7

9.Simplify: x9 ÷ x7

Answer: x2

Subtract the indices: 9 − 7 = 2

10.Simplify: x9 × x8

Answer: x17

Add the indices: 9 + 8 = 17

11.Simplify: x11 ÷ x8

Answer: x3

Subtract the indices: 11 − 8 = 3

12.Simplify: x9 × x7

Answer: x16

Add the indices: 9 + 7 = 16

13.Simplify: x4 × x5

Answer: x9

Add the indices: 4 + 5 = 9

14.Simplify: x6 ÷ x5

Answer: x1

Subtract the indices: 6 − 5 = 1

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