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10th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 10th Grade exponents & scientific notation worksheet.

Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Indices & Scientific Notation

10th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 3 — Answers

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

1.Simplify: 3x3 × 2x7

Answer: 6x10

3 × 2 = 6; add the exponents: 10

2.Simplify: 5x5 × 5x4

Answer: 25x9

5 × 5 = 25; add the exponents: 9

3.Write 5−3 as a fraction.

Answer:

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

4.Simplify: (x5)8

Answer: x40

Multiply the exponents: 5 × 8 = 40

5.Simplify: (x8)8

Answer: x64

Multiply the exponents: 8 × 8 = 64

6.Simplify: (x3)3

Answer: x9

Multiply the exponents: 3 × 3 = 9

7.Simplify: (x7)3

Answer: x21

Multiply the exponents: 7 × 3 = 21

8.Simplify: (x2)7

Answer: x14

Multiply the exponents: 2 × 7 = 14

9.Write 3−3 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 33 = 1 ÷ 27

10.Evaluate: 70

Answer: 1

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

11.Simplify: (x4)9

Answer: x36

Multiply the exponents: 4 × 9 = 36

12.Simplify: 4x7 × 2x8

Answer: 8x15

4 × 2 = 8; add the exponents: 15

13.Simplify: 4x4 × 2x4

Answer: 8x8

4 × 2 = 8; add the exponents: 8

14.Evaluate: 90

Answer: 1

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

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