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8th Grade Laws of Exponents Worksheet — Level 3 — Answers

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

Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Indices & Scientific Notation

8th Grade Laws of Exponents Worksheet — Level 3 — Answers

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

1.Simplify: (x4)6

Answer: x24

Multiply the exponents: 4 × 6 = 24

2.Evaluate: 30

Answer: 1

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

3.Simplify: (x5)8

Answer: x40

Multiply the exponents: 5 × 8 = 40

4.Evaluate: 90

Answer: 1

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

5.Write 10−2 as a fraction.

Answer:

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

6.Evaluate: 20

Answer: 1

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

7.Simplify: 2x6 × 5x8

Answer: 10x14

2 × 5 = 10; add the exponents: 14

8.Simplify: 4x4 × 5x4

Answer: 20x8

4 × 5 = 20; add the exponents: 8

9.Evaluate: 50

Answer: 1

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

10.Evaluate: 80

Answer: 1

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

11.Simplify: (x5)5

Answer: x25

Multiply the exponents: 5 × 5 = 25

12.Simplify: 3x8 × 3x8

Answer: 9x16

3 × 3 = 9; add the exponents: 16

13.Write 5−3 as a fraction.

Answer:

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

14.Simplify: 6x3 × 3x8

Answer: 18x11

6 × 3 = 18; add the exponents: 11

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