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10th Grade Laws of Exponents Worksheet — Level 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 — Answers

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

1.Simplify: (x6)2

Answer: x12

Multiply the exponents: 6 × 2 = 12

2.Simplify: x9 ÷ x7

Answer: x2

Subtract the exponents: 9 − 7 = 2

3.Simplify: x3 × x4

Answer: x7

Add the exponents: 3 + 4 = 7

4.Simplify: (x6)4

Answer: x24

Multiply the exponents: 6 × 4 = 24

5.Simplify: x6 ÷ x5

Answer: x1

Subtract the exponents: 6 − 5 = 1

6.Simplify: x8 × x8

Answer: x16

Add the exponents: 8 + 8 = 16

7.Simplify: x6 ÷ x3

Answer: x3

Subtract the exponents: 6 − 3 = 3

8.Simplify: x13 ÷ x9

Answer: x4

Subtract the exponents: 13 − 9 = 4

9.Simplify: 2x6 × 2x8

Answer: 4x14

2 × 2 = 4; add the exponents: 14

10.Simplify: x7 × x9

Answer: x16

Add the exponents: 7 + 9 = 16

11.Simplify: x9 ÷ x3

Answer: x6

Subtract the exponents: 9 − 3 = 6

12.Simplify: x7 × x5

Answer: x12

Add the exponents: 7 + 5 = 12

13.Simplify: 4x6 × 4x5

Answer: 16x11

4 × 4 = 16; add the exponents: 11

14.Simplify: x8 × x3

Answer: x11

Add the exponents: 8 + 3 = 11

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