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Year 10 Index Laws Worksheet — Level 1 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.

Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Indices & Scientific Notation

Year 10 Index Laws Worksheet — Level 1 — Practice Set 2 — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x7 × x2

Answer: x9

Add the indices: 7 + 2 = 9

2.Simplify: x13 ÷ x2

Answer: x11

Subtract the indices: 13 − 2 = 11

3.Simplify: x4 × x5

Answer: x9

Add the indices: 4 + 5 = 9

4.Simplify: x2 × x2

Answer: x4

Add the indices: 2 + 2 = 4

5.Simplify: x9 × x7

Answer: x16

Add the indices: 9 + 7 = 16

6.Simplify: x5 × x2

Answer: x7

Add the indices: 5 + 2 = 7

7.Simplify: x5 × x5

Answer: x10

Add the indices: 5 + 5 = 10

8.Simplify: x7 × x5

Answer: x12

Add the indices: 7 + 5 = 12

9.Simplify: x2 × x5

Answer: x7

Add the indices: 2 + 5 = 7

10.Simplify: x8 × x5

Answer: x13

Add the indices: 8 + 5 = 13

11.Simplify: x8 ÷ x4

Answer: x4

Subtract the indices: 8 − 4 = 4

12.Simplify: x5 ÷ x2

Answer: x3

Subtract the indices: 5 − 2 = 3

13.Simplify: x10 ÷ x8

Answer: x2

Subtract the indices: 10 − 8 = 2

14.Simplify: x6 × x7

Answer: x13

Add the indices: 6 + 7 = 13

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