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

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

1.Simplify: 3x3 × 3x6

Answer: 9x9

3 × 3 = 9; add the exponents: 9

2.Simplify: x11 ÷ x8

Answer: x3

Subtract the exponents: 11 − 8 = 3

3.Simplify: x7 × x2

Answer: x9

Add the exponents: 7 + 2 = 9

4.Simplify: x7 × x6

Answer: x13

Add the exponents: 7 + 6 = 13

5.Simplify: x12 ÷ x4

Answer: x8

Subtract the exponents: 12 − 4 = 8

6.Simplify: x9 ÷ x5

Answer: x4

Subtract the exponents: 9 − 5 = 4

7.Simplify: (x3)4

Answer: x12

Multiply the exponents: 3 × 4 = 12

8.Simplify: x8 ÷ x6

Answer: x2

Subtract the exponents: 8 − 6 = 2

9.Simplify: x12 ÷ x5

Answer: x7

Subtract the exponents: 12 − 5 = 7

10.Simplify: x6 ÷ x5

Answer: x1

Subtract the exponents: 6 − 5 = 1

11.Simplify: (x9)5

Answer: x45

Multiply the exponents: 9 × 5 = 45

12.Simplify: 6x8 × 3x4

Answer: 18x12

6 × 3 = 18; add the exponents: 12

13.Simplify: (x3)2

Answer: x6

Multiply the exponents: 3 × 2 = 6

14.Simplify: 3x8 × 3x4

Answer: 9x12

3 × 3 = 9; add the exponents: 12

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