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Year 7 Index Laws Worksheet — Level 1 (Set 2) — 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 2) — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x10 ÷ x7

Answer: x3

Subtract the indices: 10 − 7 = 3

2.Simplify: x8 × x7

Answer: x15

Add the indices: 8 + 7 = 15

3.Simplify: x4 × x7

Answer: x11

Add the indices: 4 + 7 = 11

4.Simplify: x7 ÷ x3

Answer: x4

Subtract the indices: 7 − 3 = 4

5.Simplify: x6 ÷ x4

Answer: x2

Subtract the indices: 6 − 4 = 2

6.Simplify: x6 × x2

Answer: x8

Add the indices: 6 + 2 = 8

7.Simplify: x4 × x8

Answer: x12

Add the indices: 4 + 8 = 12

8.Simplify: x7 ÷ x4

Answer: x3

Subtract the indices: 7 − 4 = 3

9.Simplify: x13 ÷ x9

Answer: x4

Subtract the indices: 13 − 9 = 4

10.Simplify: x2 × x6

Answer: x8

Add the indices: 2 + 6 = 8

11.Simplify: x4 × x9

Answer: x13

Add the indices: 4 + 9 = 13

12.Simplify: x6 × x4

Answer: x10

Add the indices: 6 + 4 = 10

13.Simplify: x6 × x7

Answer: x13

Add the indices: 6 + 7 = 13

14.Simplify: x5 × x6

Answer: x11

Add the indices: 5 + 6 = 11

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