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Year 8 Index Laws Worksheet — Level 2 — Answers

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

Year 8 · Mathematics · Indices & Scientific Notation

Year 8 Index Laws Worksheet — Level 2 — Answers

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Use the index laws. Write answers with positive indices.

1.Simplify: 4x9 × 5x5

Answer: 20x14

4 × 5 = 20; add the indices: 14

2.Simplify: x10 ÷ x4

Answer: x6

Subtract the indices: 10 − 4 = 6

3.Simplify: x4 × x6

Answer: x10

Add the indices: 4 + 6 = 10

4.Simplify: 2x9 × 3x8

Answer: 6x17

2 × 3 = 6; add the indices: 17

5.Simplify: x7 ÷ x4

Answer: x3

Subtract the indices: 7 − 4 = 3

6.Simplify: 5x7 × 5x7

Answer: 25x14

5 × 5 = 25; add the indices: 14

7.Simplify: 2x5 × 2x9

Answer: 4x14

2 × 2 = 4; add the indices: 14

8.Simplify: x6 × x4

Answer: x10

Add the indices: 6 + 4 = 10

9.Simplify: x7 × x5

Answer: x12

Add the indices: 7 + 5 = 12

10.Simplify: x2 × x6

Answer: x8

Add the indices: 2 + 6 = 8

11.Simplify: 2x7 × 3x3

Answer: 6x10

2 × 3 = 6; add the indices: 10

12.Simplify: x6 ÷ x2

Answer: x4

Subtract the indices: 6 − 2 = 4

13.Simplify: 3x3 × 4x9

Answer: 12x12

3 × 4 = 12; add the indices: 12

14.Simplify: x6 ÷ x4

Answer: x2

Subtract the indices: 6 − 4 = 2

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