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8th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 2 — 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 — Practice Set 2 — Answers

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

1.Simplify: 3x6 × 4x8

Answer: 12x14

3 × 4 = 12; add the exponents: 14

2.Write 5−3 as a fraction.

Answer:

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

3.Write 2−2 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 22 = 1 ÷ 4

4.Write 10−2 as a fraction.

Answer:

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

5.Write 10−3 as a fraction.

Answer:

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

6.Simplify: (x9)3

Answer: x27

Multiply the exponents: 9 × 3 = 27

7.Simplify: 2x7 × 5x7

Answer: 10x14

2 × 5 = 10; add the exponents: 14

8.Simplify: 5x5 × 5x3

Answer: 25x8

5 × 5 = 25; add the exponents: 8

9.Simplify: (x4)9

Answer: x36

Multiply the exponents: 4 × 9 = 36

10.Simplify: (x2)4

Answer: x8

Multiply the exponents: 2 × 4 = 8

11.Evaluate: 50

Answer: 1

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

12.Write 2−1 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 21 = 1 ÷ 2

13.Simplify: (x9)2

Answer: x18

Multiply the exponents: 9 × 2 = 18

14.Evaluate: 70

Answer: 1

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

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