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Year 10 Index Laws Worksheet — Level 3 — 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 3 — Practice Set 2 — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: 5x2 × 2x8

Answer: 10x10

5 × 2 = 10; add the indices: 10

2.Evaluate: 30

Answer: 1

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

3.Simplify: 5x7 × 4x5

Answer: 20x12

5 × 4 = 20; add the indices: 12

4.Simplify: (x7)2

Answer: x14

Multiply the indices: 7 × 2 = 14

5.Write 10−3 as a fraction.

Answer:

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

6.Evaluate: 60

Answer: 1

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

7.Simplify: (x6)9

Answer: x54

Multiply the indices: 6 × 9 = 54

8.Simplify: 6x6 × 2x5

Answer: 12x11

6 × 2 = 12; add the indices: 11

9.Simplify: 3x3 × 4x3

Answer: 12x6

3 × 4 = 12; add the indices: 6

10.Write 10−2 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 102 = 1 ÷ 100

11.Write 5−2 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 52 = 1 ÷ 25

12.Evaluate: 70

Answer: 1

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

13.Evaluate: 80

Answer: 1

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

14.Simplify: 4x7 × 4x2

Answer: 16x9

4 × 4 = 16; add the indices: 9

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