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

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

1.Simplify: x5 × x2

Answer: x7

Add the exponents: 5 + 2 = 7

2.Simplify: x10 ÷ x4

Answer: x6

Subtract the exponents: 10 − 4 = 6

3.Simplify: x12 ÷ x9

Answer: x3

Subtract the exponents: 12 − 9 = 3

4.Simplify: 5x9 × 2x7

Answer: 10x16

5 × 2 = 10; add the exponents: 16

5.Simplify: (x4)6

Answer: x24

Multiply the exponents: 4 × 6 = 24

6.Simplify: (x6)6

Answer: x36

Multiply the exponents: 6 × 6 = 36

7.Simplify: 2x3 × 4x7

Answer: 8x10

2 × 4 = 8; add the exponents: 10

8.Simplify: x8 × x9

Answer: x17

Add the exponents: 8 + 9 = 17

9.Simplify: x6 × x5

Answer: x11

Add the exponents: 6 + 5 = 11

10.Simplify: (x2)8

Answer: x16

Multiply the exponents: 2 × 8 = 16

11.Simplify: x4 × x8

Answer: x12

Add the exponents: 4 + 8 = 12

12.Simplify: x3 × x8

Answer: x11

Add the exponents: 3 + 8 = 11

13.Simplify: x8 ÷ x7

Answer: x1

Subtract the exponents: 8 − 7 = 1

14.Simplify: 6x2 × 3x7

Answer: 18x9

6 × 3 = 18; add the exponents: 9

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