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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: x6 × x8

Answer: x14

Add the indices: 6 + 8 = 14

2.Simplify: x7 ÷ x3

Answer: x4

Subtract the indices: 7 − 3 = 4

3.Simplify: x9 ÷ x7

Answer: x2

Subtract the indices: 9 − 7 = 2

4.Simplify: x6 × x6

Answer: x12

Add the indices: 6 + 6 = 12

5.Simplify: x2 × x7

Answer: x9

Add the indices: 2 + 7 = 9

6.Simplify: x2 × x5

Answer: x7

Add the indices: 2 + 5 = 7

7.Simplify: x11 ÷ x3

Answer: x8

Subtract the indices: 11 − 3 = 8

8.Simplify: x11 ÷ x8

Answer: x3

Subtract the indices: 11 − 8 = 3

9.Simplify: x13 ÷ x5

Answer: x8

Subtract the indices: 13 − 5 = 8

10.Simplify: x3 × x7

Answer: x10

Add the indices: 3 + 7 = 10

11.Simplify: x9 ÷ x5

Answer: x4

Subtract the indices: 9 − 5 = 4

12.Simplify: x11 ÷ x5

Answer: x6

Subtract the indices: 11 − 5 = 6

13.Simplify: x8 × x5

Answer: x13

Add the indices: 8 + 5 = 13

14.Simplify: x4 × x6

Answer: x10

Add the indices: 4 + 6 = 10

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