8th Grade Laws of Exponents Worksheet — Level 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 2 — Answers

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

1.Simplify: (x²)⁴

Answer: x⁸

Multiply the exponents: 2 × 4 = 8

2.Simplify: x¹³ ÷ x⁹

Answer: x⁴

Subtract the exponents: 13 − 9 = 4

3.Simplify: (x⁸)²

Answer: x¹⁶

Multiply the exponents: 8 × 2 = 16

4.Simplify: 5x⁷ × 4x⁴

Answer: 20x¹¹

5 × 4 = 20; add the exponents: 11

5.Simplify: 3x³ × 5x³

Answer: 15x⁶

3 × 5 = 15; add the exponents: 6

6.Simplify: x¹⁰ ÷ x⁵

Answer: x⁵

Subtract the exponents: 10 − 5 = 5

7.Simplify: (x⁴)⁶

Answer: x²⁴

Multiply the exponents: 4 × 6 = 24

8.Simplify: (x⁵)⁴

Answer: x²⁰

Multiply the exponents: 5 × 4 = 20

9.Simplify: 3x⁷ × 2x⁷

Answer: 6x¹⁴

3 × 2 = 6; add the exponents: 14

10.Simplify: 2x³ × 5x⁹

Answer: 10x¹²

2 × 5 = 10; add the exponents: 12

11.Simplify: x⁸ × x³

Answer: x¹¹

Add the exponents: 8 + 3 = 11

12.Simplify: 6x² × 3x⁴

Answer: 18x⁶

6 × 3 = 18; add the exponents: 6

13.Simplify: x⁹ × x⁵

Answer: x¹⁴

Add the exponents: 9 + 5 = 14

14.Simplify: (x⁹)²

Answer: x¹⁸

Multiply the exponents: 9 × 2 = 18

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