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9th Grade Laws of Exponents Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 9th Grade exponents & scientific notation worksheet.

Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Indices & Scientific Notation

9th Grade Laws of Exponents Worksheet — Level 2 — Practice Set 3 — Answers

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

1.Simplify: (x9)3

Answer: x27

Multiply the exponents: 9 × 3 = 27

2.Simplify: x8 × x7

Answer: x15

Add the exponents: 8 + 7 = 15

3.Simplify: 2x2 × 5x7

Answer: 10x9

2 × 5 = 10; add the exponents: 9

4.Simplify: 6x8 × 4x9

Answer: 24x17

6 × 4 = 24; add the exponents: 17

5.Simplify: x11 ÷ x5

Answer: x6

Subtract the exponents: 11 − 5 = 6

6.Simplify: x10 ÷ x6

Answer: x4

Subtract the exponents: 10 − 6 = 4

7.Simplify: x6 ÷ x2

Answer: x4

Subtract the exponents: 6 − 2 = 4

8.Simplify: (x4)3

Answer: x12

Multiply the exponents: 4 × 3 = 12

9.Simplify: 5x7 × 5x3

Answer: 25x10

5 × 5 = 25; add the exponents: 10

10.Simplify: 3x4 × 2x7

Answer: 6x11

3 × 2 = 6; add the exponents: 11

11.Simplify: x9 ÷ x7

Answer: x2

Subtract the exponents: 9 − 7 = 2

12.Simplify: x7 × x4

Answer: x11

Add the exponents: 7 + 4 = 11

13.Simplify: 5x7 × 3x5

Answer: 15x12

5 × 3 = 15; add the exponents: 12

14.Simplify: 3x3 × 2x3

Answer: 6x6

3 × 2 = 6; add the exponents: 6

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