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Year 8 Index Laws Worksheet — Level 1 (Set 3) — Answers

Answer sheet with worked solutions for the Year 8 indices & scientific notation worksheet.

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Indices & Scientific Notation

Year 8 Index Laws Worksheet — Level 1 (Set 3) — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x8 × x4

Answer: x12

Add the indices: 8 + 4 = 12

2.Simplify: x11 ÷ x9

Answer: x2

Subtract the indices: 11 − 9 = 2

3.Simplify: x5 × x8

Answer: x13

Add the indices: 5 + 8 = 13

4.Simplify: x5 ÷ x2

Answer: x3

Subtract the indices: 5 − 2 = 3

5.Simplify: x2 × x5

Answer: x7

Add the indices: 2 + 5 = 7

6.Simplify: x12 ÷ x9

Answer: x3

Subtract the indices: 12 − 9 = 3

7.Simplify: x12 ÷ x4

Answer: x8

Subtract the indices: 12 − 4 = 8

8.Simplify: x8 ÷ x4

Answer: x4

Subtract the indices: 8 − 4 = 4

9.Simplify: x4 × x9

Answer: x13

Add the indices: 4 + 9 = 13

10.Simplify: x12 ÷ x8

Answer: x4

Subtract the indices: 12 − 8 = 4

11.Simplify: x10 ÷ x3

Answer: x7

Subtract the indices: 10 − 3 = 7

12.Simplify: x8 × x7

Answer: x15

Add the indices: 8 + 7 = 15

13.Simplify: x6 × x4

Answer: x10

Add the indices: 6 + 4 = 10

14.Simplify: x9 × x7

Answer: x16

Add the indices: 9 + 7 = 16

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