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9th Grade Laws of Exponents Worksheet — Level 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 — Answers

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

1.Simplify: x10 ÷ x6

Answer: x4

Subtract the exponents: 10 − 6 = 4

2.Simplify: 6x9 × 3x9

Answer: 18x18

6 × 3 = 18; add the exponents: 18

3.Simplify: x4 × x4

Answer: x8

Add the exponents: 4 + 4 = 8

4.Simplify: (x9)4

Answer: x36

Multiply the exponents: 9 × 4 = 36

5.Simplify: (x9)9

Answer: x81

Multiply the exponents: 9 × 9 = 81

6.Simplify: x3 × x2

Answer: x5

Add the exponents: 3 + 2 = 5

7.Simplify: 3x8 × 3x9

Answer: 9x17

3 × 3 = 9; add the exponents: 17

8.Simplify: (x6)3

Answer: x18

Multiply the exponents: 6 × 3 = 18

9.Simplify: 3x3 × 3x9

Answer: 9x12

3 × 3 = 9; add the exponents: 12

10.Simplify: x8 ÷ x6

Answer: x2

Subtract the exponents: 8 − 6 = 2

11.Simplify: x9 ÷ x8

Answer: x1

Subtract the exponents: 9 − 8 = 1

12.Simplify: 3x3 × 2x5

Answer: 6x8

3 × 2 = 6; add the exponents: 8

13.Simplify: 4x7 × 2x7

Answer: 8x14

4 × 2 = 8; add the exponents: 14

14.Simplify: 6x9 × 2x9

Answer: 12x18

6 × 2 = 12; add the exponents: 18

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