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

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

1.Simplify: x11 ÷ x6

Answer: x5

Subtract the exponents: 11 − 6 = 5

2.Simplify: (x9)4

Answer: x36

Multiply the exponents: 9 × 4 = 36

3.Simplify: (x5)3

Answer: x15

Multiply the exponents: 5 × 3 = 15

4.Simplify: (x7)2

Answer: x14

Multiply the exponents: 7 × 2 = 14

5.Simplify: x2 × x3

Answer: x5

Add the exponents: 2 + 3 = 5

6.Simplify: 5x4 × 5x7

Answer: 25x11

5 × 5 = 25; add the exponents: 11

7.Simplify: x10 ÷ x4

Answer: x6

Subtract the exponents: 10 − 4 = 6

8.Simplify: x5 × x2

Answer: x7

Add the exponents: 5 + 2 = 7

9.Simplify: x10 ÷ x8

Answer: x2

Subtract the exponents: 10 − 8 = 2

10.Simplify: x9 ÷ x3

Answer: x6

Subtract the exponents: 9 − 3 = 6

11.Simplify: x7 × x4

Answer: x11

Add the exponents: 7 + 4 = 11

12.Simplify: 2x9 × 5x3

Answer: 10x12

2 × 5 = 10; add the exponents: 12

13.Simplify: x5 × x9

Answer: x14

Add the exponents: 5 + 9 = 14

14.Simplify: x6 ÷ x4

Answer: x2

Subtract the exponents: 6 − 4 = 2

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