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9th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 9th Grade exponents & scientific notation worksheet.

Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Indices & Scientific Notation

9th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 4 — Answers

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

1.Evaluate: 90

Answer: 1

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

2.Evaluate: 30

Answer: 1

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

3.Simplify: (x2)7

Answer: x14

Multiply the exponents: 2 × 7 = 14

4.Simplify: (x6)4

Answer: x24

Multiply the exponents: 6 × 4 = 24

5.Evaluate: 80

Answer: 1

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

6.Simplify: (x4)6

Answer: x24

Multiply the exponents: 4 × 6 = 24

7.Evaluate: 60

Answer: 1

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

8.Simplify: 6x3 × 2x7

Answer: 12x10

6 × 2 = 12; add the exponents: 10

9.Simplify: 5x6 × 3x2

Answer: 15x8

5 × 3 = 15; add the exponents: 8

10.Simplify: 2x9 × 3x2

Answer: 6x11

2 × 3 = 6; add the exponents: 11

11.Simplify: (x2)2

Answer: x4

Multiply the exponents: 2 × 2 = 4

12.Write 10−1 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 101 = 1 ÷ 10

13.Simplify: 2x9 × 3x6

Answer: 6x15

2 × 3 = 6; add the exponents: 15

14.Simplify: 6x5 × 3x9

Answer: 18x14

6 × 3 = 18; add the exponents: 14

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