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

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

1.Simplify: (x4)9

Answer: x36

Multiply the exponents: 4 × 9 = 36

2.Simplify: 4x2 × 5x4

Answer: 20x6

4 × 5 = 20; add the exponents: 6

3.Simplify: x6 ÷ x4

Answer: x2

Subtract the exponents: 6 − 4 = 2

4.Simplify: x4 × x6

Answer: x10

Add the exponents: 4 + 6 = 10

5.Simplify: x11 ÷ x8

Answer: x3

Subtract the exponents: 11 − 8 = 3

6.Simplify: x7 ÷ x2

Answer: x5

Subtract the exponents: 7 − 2 = 5

7.Simplify: x8 ÷ x5

Answer: x3

Subtract the exponents: 8 − 5 = 3

8.Simplify: (x2)2

Answer: x4

Multiply the exponents: 2 × 2 = 4

9.Simplify: (x5)8

Answer: x40

Multiply the exponents: 5 × 8 = 40

10.Simplify: (x6)8

Answer: x48

Multiply the exponents: 6 × 8 = 48

11.Simplify: 2x3 × 3x7

Answer: 6x10

2 × 3 = 6; add the exponents: 10

12.Simplify: x7 × x5

Answer: x12

Add the exponents: 7 + 5 = 12

13.Simplify: 3x2 × 4x4

Answer: 12x6

3 × 4 = 12; add the exponents: 6

14.Simplify: (x8)6

Answer: x48

Multiply the exponents: 8 × 6 = 48

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