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9th Grade Laws of Exponents Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

1.Write 3−3 as a fraction.

Answer:

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

2.Simplify: 3x5 × 4x5

Answer: 12x10

3 × 4 = 12; add the exponents: 10

3.Evaluate: 40

Answer: 1

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

4.Simplify: 2x9 × 5x2

Answer: 10x11

2 × 5 = 10; add the exponents: 11

5.Evaluate: 70

Answer: 1

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

6.Simplify: (x9)7

Answer: x63

Multiply the exponents: 9 × 7 = 63

7.Simplify: (x4)8

Answer: x32

Multiply the exponents: 4 × 8 = 32

8.Write 5−3 as a fraction.

Answer:

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

9.Simplify: 6x4 × 3x3

Answer: 18x7

6 × 3 = 18; add the exponents: 7

10.Write 2−2 as a fraction.

Answer:

A negative index means the reciprocal: 1 ÷ 22 = 1 ÷ 4

11.Simplify: (x7)2

Answer: x14

Multiply the exponents: 7 × 2 = 14

12.Simplify: 4x3 × 5x5

Answer: 20x8

4 × 5 = 20; add the exponents: 8

13.Simplify: 3x8 × 3x6

Answer: 9x14

3 × 3 = 9; add the exponents: 14

14.Simplify: 2x7 × 2x6

Answer: 4x13

2 × 2 = 4; add the exponents: 13

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