8th Grade Laws of Exponents Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — Answers

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

1.Simplify: (x⁴)²

Answer: x⁸

Multiply the exponents: 4 × 2 = 8

2.Simplify: 2x⁶ × 4x⁸

Answer: 8x¹⁴

2 × 4 = 8; add the exponents: 14

3.Simplify: (x²)⁸

Answer: x¹⁶

Multiply the exponents: 2 × 8 = 16

4.Simplify: 4x⁷ × 3x⁹

Answer: 12x¹⁶

4 × 3 = 12; add the exponents: 16

5.Simplify: 4x⁸ × 4x³

Answer: 16x¹¹

4 × 4 = 16; add the exponents: 11

6.Simplify: x¹⁰ ÷ x²

Answer: x⁸

Subtract the exponents: 10 − 2 = 8

7.Simplify: x⁹ ÷ x⁵

Answer: x⁴

Subtract the exponents: 9 − 5 = 4

8.Simplify: x⁹ ÷ x⁴

Answer: x⁵

Subtract the exponents: 9 − 4 = 5

9.Simplify: (x⁶)²

Answer: x¹²

Multiply the exponents: 6 × 2 = 12

10.Simplify: x⁸ × x⁷

Answer: x¹⁵

Add the exponents: 8 + 7 = 15

11.Simplify: 2x⁵ × 5x⁶

Answer: 10x¹¹

2 × 5 = 10; add the exponents: 11

12.Simplify: x⁸ × x³

Answer: x¹¹

Add the exponents: 8 + 3 = 11

13.Simplify: x³ × x²

Answer: x⁵

Add the exponents: 3 + 2 = 5

14.Simplify: (x⁶)⁷

Answer: x⁴²

Multiply the exponents: 6 × 7 = 42

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