7th Grade Laws of Exponents Worksheet — Level 1 (Set 2) — 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 (Set 2) — Answers

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

1.Simplify: x⁶ ÷ x²

Answer: x⁴

Subtract the exponents: 6 − 2 = 4

2.Simplify: x⁴ ÷ x²

Answer: x²

Subtract the exponents: 4 − 2 = 2

3.Simplify: x¹² ÷ x⁹

Answer: x³

Subtract the exponents: 12 − 9 = 3

4.Simplify: x³ × x⁸

Answer: x¹¹

Add the exponents: 3 + 8 = 11

5.Simplify: x¹¹ ÷ x⁸

Answer: x³

Subtract the exponents: 11 − 8 = 3

6.Simplify: x¹⁰ ÷ x⁸

Answer: x²

Subtract the exponents: 10 − 8 = 2

7.Simplify: x⁷ × x²

Answer: x⁹

Add the exponents: 7 + 2 = 9

8.Simplify: x⁷ ÷ x⁴

Answer: x³

Subtract the exponents: 7 − 4 = 3

9.Simplify: x⁵ × x²

Answer: x⁷

Add the exponents: 5 + 2 = 7

10.Simplify: x¹⁰ ÷ x⁵

Answer: x⁵

Subtract the exponents: 10 − 5 = 5

11.Simplify: x⁸ ÷ x⁵

Answer: x³

Subtract the exponents: 8 − 5 = 3

12.Simplify: x⁴ × x²

Answer: x⁶

Add the exponents: 4 + 2 = 6

13.Simplify: x⁹ ÷ x⁶

Answer: x³

Subtract the exponents: 9 − 6 = 3

14.Simplify: x⁷ × x⁷

Answer: x¹⁴

Add the exponents: 7 + 7 = 14

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7th Grade Laws of Exponents Worksheet — Level 1 (Set 3)