7th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers

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

1.Simplify: x⁹ × x⁵

Answer: x¹⁴

Add the exponents: 9 + 5 = 14

2.Simplify: x⁷ ÷ x⁶

Answer: x¹

Subtract the exponents: 7 − 6 = 1

3.Simplify: x⁴ ÷ x³

Answer: x¹

Subtract the exponents: 4 − 3 = 1

4.Simplify: x⁷ × x⁸

Answer: x¹⁵

Add the exponents: 7 + 8 = 15

5.Simplify: x¹² ÷ x⁹

Answer: x³

Subtract the exponents: 12 − 9 = 3

6.Simplify: x¹⁰ ÷ x⁶

Answer: x⁴

Subtract the exponents: 10 − 6 = 4

7.Simplify: x³ × x⁷

Answer: x¹⁰

Add the exponents: 3 + 7 = 10

8.Simplify: x⁸ × x⁹

Answer: x¹⁷

Add the exponents: 8 + 9 = 17

9.Simplify: x⁷ ÷ x⁵

Answer: x²

Subtract the exponents: 7 − 5 = 2

10.Simplify: x⁶ × x⁵

Answer: x¹¹

Add the exponents: 6 + 5 = 11

11.Simplify: x⁵ × x³

Answer: x⁸

Add the exponents: 5 + 3 = 8

12.Simplify: x² × x⁵

Answer: x⁷

Add the exponents: 2 + 5 = 7

13.Simplify: x⁷ × x⁶

Answer: x¹³

Add the exponents: 7 + 6 = 13

14.Simplify: x¹¹ ÷ x²

Answer: x⁹

Subtract the exponents: 11 − 2 = 9

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