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10th Grade Laws of Exponents Worksheet — Level 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 — Answers

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

1.Simplify: 5x5 × 5x6

Answer: 25x11

5 × 5 = 25; add the exponents: 11

2.Simplify: (x4)4

Answer: x16

Multiply the exponents: 4 × 4 = 16

3.Write 3−3 as a fraction.

Answer:

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

4.Simplify: 6x4 × 3x4

Answer: 18x8

6 × 3 = 18; add the exponents: 8

5.Simplify: (x6)4

Answer: x24

Multiply the exponents: 6 × 4 = 24

6.Evaluate: 50

Answer: 1

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

7.Evaluate: 90

Answer: 1

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

8.Simplify: (x6)3

Answer: x18

Multiply the exponents: 6 × 3 = 18

9.Evaluate: 80

Answer: 1

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

10.Write 10−2 as a fraction.

Answer:

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

11.Evaluate: 20

Answer: 1

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

12.Simplify: (x3)9

Answer: x27

Multiply the exponents: 3 × 9 = 27

13.Evaluate: 30

Answer: 1

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

14.Simplify: (x5)4

Answer: x20

Multiply the exponents: 5 × 4 = 20

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