8th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers

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

1.Simplify: x¹¹ ÷ x⁴

Answer: x⁷

Subtract the exponents: 11 − 4 = 7

2.Simplify: x⁹ × x⁴

Answer: x¹³

Add the exponents: 9 + 4 = 13

3.Simplify: x⁹ ÷ x⁵

Answer: x⁴

Subtract the exponents: 9 − 5 = 4

4.Simplify: x⁹ ÷ x⁸

Answer: x¹

Subtract the exponents: 9 − 8 = 1

5.Simplify: x¹⁰ ÷ x⁹

Answer: x¹

Subtract the exponents: 10 − 9 = 1

6.Simplify: x⁹ × x⁵

Answer: x¹⁴

Add the exponents: 9 + 5 = 14

7.Simplify: x¹⁰ ÷ x⁶

Answer: x⁴

Subtract the exponents: 10 − 6 = 4

8.Simplify: x³ × x⁵

Answer: x⁸

Add the exponents: 3 + 5 = 8

9.Simplify: x¹⁰ ÷ x⁸

Answer: x²

Subtract the exponents: 10 − 8 = 2

10.Simplify: x¹¹ ÷ x⁹

Answer: x²

Subtract the exponents: 11 − 9 = 2

11.Simplify: x¹¹ ÷ x²

Answer: x⁹

Subtract the exponents: 11 − 2 = 9

12.Simplify: x⁹ ÷ x⁷

Answer: x²

Subtract the exponents: 9 − 7 = 2

13.Simplify: x³ × x²

Answer: x⁵

Add the exponents: 3 + 2 = 5

14.Simplify: x⁶ ÷ x²

Answer: x⁴

Subtract the exponents: 6 − 2 = 4

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