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

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

1.Simplify: 5x3 × 4x7

Answer: 20x10

5 × 4 = 20; add the exponents: 10

2.Simplify: 4x6 × 2x6

Answer: 8x12

4 × 2 = 8; add the exponents: 12

3.Write 2−1 as a fraction.

Answer:

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

4.Evaluate: 40

Answer: 1

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

5.Write 3−1 as a fraction.

Answer:

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

6.Simplify: 3x5 × 4x6

Answer: 12x11

3 × 4 = 12; add the exponents: 11

7.Simplify: 5x2 × 5x7

Answer: 25x9

5 × 5 = 25; add the exponents: 9

8.Simplify: 5x5 × 5x7

Answer: 25x12

5 × 5 = 25; add the exponents: 12

9.Simplify: (x8)9

Answer: x72

Multiply the exponents: 8 × 9 = 72

10.Evaluate: 50

Answer: 1

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

11.Evaluate: 60

Answer: 1

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

12.Simplify: (x9)2

Answer: x18

Multiply the exponents: 9 × 2 = 18

13.Evaluate: 30

Answer: 1

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

14.Simplify: 5x6 × 4x4

Answer: 20x10

5 × 4 = 20; add the exponents: 10

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