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10th Grade Laws of Exponents Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers

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

1.Simplify: x6 ÷ x4

Answer: x2

Subtract the exponents: 6 − 4 = 2

2.Simplify: x7 ÷ x3

Answer: x4

Subtract the exponents: 7 − 3 = 4

3.Simplify: 6x2 × 5x7

Answer: 30x9

6 × 5 = 30; add the exponents: 9

4.Simplify: 2x4 × 3x7

Answer: 6x11

2 × 3 = 6; add the exponents: 11

5.Simplify: 4x8 × 3x2

Answer: 12x10

4 × 3 = 12; add the exponents: 10

6.Simplify: x8 × x7

Answer: x15

Add the exponents: 8 + 7 = 15

7.Simplify: 3x5 × 4x6

Answer: 12x11

3 × 4 = 12; add the exponents: 11

8.Simplify: 2x3 × 2x5

Answer: 4x8

2 × 2 = 4; add the exponents: 8

9.Simplify: x4 × x7

Answer: x11

Add the exponents: 4 + 7 = 11

10.Simplify: x2 × x5

Answer: x7

Add the exponents: 2 + 5 = 7

11.Simplify: x9 ÷ x7

Answer: x2

Subtract the exponents: 9 − 7 = 2

12.Simplify: (x9)3

Answer: x27

Multiply the exponents: 9 × 3 = 27

13.Simplify: (x6)6

Answer: x36

Multiply the exponents: 6 × 6 = 36

14.Simplify: (x3)6

Answer: x18

Multiply the exponents: 3 × 6 = 18

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