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8th Grade Laws of Exponents Worksheet — Level 2 — Practice Set 4 — Answers

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

Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Indices & Scientific Notation

8th Grade Laws of Exponents Worksheet — Level 2 — Practice Set 4 — Answers

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

1.Simplify: 2x5 × 2x2

Answer: 4x7

2 × 2 = 4; add the exponents: 7

2.Simplify: (x6)2

Answer: x12

Multiply the exponents: 6 × 2 = 12

3.Simplify: 5x9 × 5x9

Answer: 25x18

5 × 5 = 25; add the exponents: 18

4.Simplify: x9 × x9

Answer: x18

Add the exponents: 9 + 9 = 18

5.Simplify: 3x3 × 2x6

Answer: 6x9

3 × 2 = 6; add the exponents: 9

6.Simplify: x7 × x4

Answer: x11

Add the exponents: 7 + 4 = 11

7.Simplify: (x3)8

Answer: x24

Multiply the exponents: 3 × 8 = 24

8.Simplify: 2x5 × 4x2

Answer: 8x7

2 × 4 = 8; add the exponents: 7

9.Simplify: (x6)7

Answer: x42

Multiply the exponents: 6 × 7 = 42

10.Simplify: (x3)3

Answer: x9

Multiply the exponents: 3 × 3 = 9

11.Simplify: x7 ÷ x2

Answer: x5

Subtract the exponents: 7 − 2 = 5

12.Simplify: x10 ÷ x9

Answer: x1

Subtract the exponents: 10 − 9 = 1

13.Simplify: x9 ÷ x6

Answer: x3

Subtract the exponents: 9 − 6 = 3

14.Simplify: x4 × x4

Answer: x8

Add the exponents: 4 + 4 = 8

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