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10th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

1.Evaluate: 20

Answer: 1

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

2.Evaluate: 50

Answer: 1

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

3.Simplify: (x7)2

Answer: x14

Multiply the exponents: 7 × 2 = 14

4.Evaluate: 40

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: 30

Answer: 1

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

7.Simplify: (x9)2

Answer: x18

Multiply the exponents: 9 × 2 = 18

8.Simplify: 4x4 × 5x2

Answer: 20x6

4 × 5 = 20; add the exponents: 6

9.Write 5−2 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 52 = 1 ÷ 25

10.Evaluate: 80

Answer: 1

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

11.Simplify: (x7)3

Answer: x21

Multiply the exponents: 7 × 3 = 21

12.Write 5−1 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 51 = 1 ÷ 5

13.Simplify: 3x9 × 4x7

Answer: 12x16

3 × 4 = 12; add the exponents: 16

14.Write 3−3 as a fraction.

Answer:

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

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