8th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 8th Grade exponents & scientific notation worksheet.

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8th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 4 — Answers

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

1.Simplify: x⁸ ÷ x⁷

Answer: x¹

Subtract the exponents: 8 − 7 = 1

2.Simplify: x⁸ ÷ x²

Answer: x⁶

Subtract the exponents: 8 − 2 = 6

3.Simplify: x⁹ × x⁸

Answer: x¹⁷

Add the exponents: 9 + 8 = 17

4.Simplify: x¹⁰ ÷ x⁶

Answer: x⁴

Subtract the exponents: 10 − 6 = 4

5.Simplify: x⁶ ÷ x⁵

Answer: x¹

Subtract the exponents: 6 − 5 = 1

6.Simplify: x¹⁰ ÷ x⁷

Answer: x³

Subtract the exponents: 10 − 7 = 3

7.Simplify: x⁹ ÷ x⁷

Answer: x²

Subtract the exponents: 9 − 7 = 2

8.Simplify: x⁶ ÷ x⁴

Answer: x²

Subtract the exponents: 6 − 4 = 2

9.Simplify: x² × x⁶

Answer: x⁸

Add the exponents: 2 + 6 = 8

10.Simplify: x⁴ × x⁶

Answer: x¹⁰

Add the exponents: 4 + 6 = 10

11.Simplify: x¹⁰ ÷ x²

Answer: x⁸

Subtract the exponents: 10 − 2 = 8

12.Simplify: x⁶ × x⁵

Answer: x¹¹

Add the exponents: 6 + 5 = 11

13.Simplify: x⁷ × x⁵

Answer: x¹²

Add the exponents: 7 + 5 = 12

14.Simplify: x¹³ ÷ x⁸

Answer: x⁵

Subtract the exponents: 13 − 8 = 5

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