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Year 9 Index Laws Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Indices & Scientific Notation

Year 9 Index Laws Worksheet — Level 3 — Answers

Use the index laws. Write answers with positive indices.

1.Evaluate: 90

Answer: 1

Anything (except 0) to the power of 0 equals 1.

2.Simplify: 3x6 × 4x7

Answer: 12x13

3 × 4 = 12; add the indices: 13

3.Simplify: 2x7 × 3x4

Answer: 6x11

2 × 3 = 6; add the indices: 11

4.Evaluate: 80

Answer: 1

Anything (except 0) to the power of 0 equals 1.

5.Simplify: 4x2 × 3x4

Answer: 12x6

4 × 3 = 12; add the indices: 6

6.Write 3−1 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 31 = 1 ÷ 3

7.Simplify: 3x2 × 3x6

Answer: 9x8

3 × 3 = 9; add the indices: 8

8.Simplify: 3x5 × 2x4

Answer: 6x9

3 × 2 = 6; add the indices: 9

9.Simplify: 5x9 × 2x9

Answer: 10x18

5 × 2 = 10; add the indices: 18

10.Write 10−3 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 103 = 1 ÷ 1000

11.Simplify: 2x5 × 2x2

Answer: 4x7

2 × 2 = 4; add the indices: 7

12.Simplify: 3x2 × 2x7

Answer: 6x9

3 × 2 = 6; add the indices: 9

13.Simplify: (x9)5

Answer: x45

Multiply the indices: 9 × 5 = 45

14.Write 10−1 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 101 = 1 ÷ 10

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