7th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 7th Grade exponents & scientific notation worksheet.

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7th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 3 — Answers

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

1.Simplify: x⁷ ÷ x⁵

Answer: x²

Subtract the exponents: 7 − 5 = 2

2.Simplify: x¹² ÷ x⁸

Answer: x⁴

Subtract the exponents: 12 − 8 = 4

3.Simplify: x¹² ÷ x⁶

Answer: x⁶

Subtract the exponents: 12 − 6 = 6

4.Simplify: x⁴ × x⁷

Answer: x¹¹

Add the exponents: 4 + 7 = 11

5.Simplify: x⁹ × x⁵

Answer: x¹⁴

Add the exponents: 9 + 5 = 14

6.Simplify: x⁶ ÷ x²

Answer: x⁴

Subtract the exponents: 6 − 2 = 4

7.Simplify: x² × x⁷

Answer: x⁹

Add the exponents: 2 + 7 = 9

8.Simplify: x⁸ ÷ x⁶

Answer: x²

Subtract the exponents: 8 − 6 = 2

9.Simplify: x¹² ÷ x⁹

Answer: x³

Subtract the exponents: 12 − 9 = 3

10.Simplify: x⁵ ÷ x²

Answer: x³

Subtract the exponents: 5 − 2 = 3

11.Simplify: x³ × x⁵

Answer: x⁸

Add the exponents: 3 + 5 = 8

12.Simplify: x⁸ × x³

Answer: x¹¹

Add the exponents: 8 + 3 = 11

13.Simplify: x⁷ × x⁴

Answer: x¹¹

Add the exponents: 7 + 4 = 11

14.Simplify: x⁸ ÷ x⁷

Answer: x¹

Subtract the exponents: 8 − 7 = 1

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