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8th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 8th Grade exponents & scientific notation worksheet.

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Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Indices & Scientific Notation

8th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 4 — Answers

Use the laws of exponents. Write answers with positive exponents.

1.Simplify: 5x5 × 2x8

Answer: 10x13

5 × 2 = 10; add the exponents: 13

2.Evaluate: 80

Answer: 1

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

3.Simplify: (x7)2

Answer: x14

Multiply the exponents: 7 × 2 = 14

4.Evaluate: 70

Answer: 1

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

5.Simplify: 2x5 × 2x5

Answer: 4x10

2 × 2 = 4; add the exponents: 10

6.Evaluate: 30

Answer: 1

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

7.Simplify: 5x9 × 4x5

Answer: 20x14

5 × 4 = 20; add the exponents: 14

8.Write 3−2 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 32 = 1 ÷ 9

9.Write 5−3 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 53 = 1 ÷ 125

10.Simplify: (x9)3

Answer: x27

Multiply the exponents: 9 × 3 = 27

11.Simplify: (x3)8

Answer: x24

Multiply the exponents: 3 × 8 = 24

12.Simplify: 4x3 × 5x9

Answer: 20x12

4 × 5 = 20; add the exponents: 12

13.Simplify: 4x8 × 5x8

Answer: 20x16

4 × 5 = 20; add the exponents: 16

14.Simplify: (x5)2

Answer: x10

Multiply the exponents: 5 × 2 = 10

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