Success TutoringWorksheets

9th Grade Laws of Exponents Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers

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

1.Simplify: 2x9 × 2x3

Answer: 4x12

2 × 2 = 4; add the exponents: 12

2.Simplify: 5x6 × 3x2

Answer: 15x8

5 × 3 = 15; add the exponents: 8

3.Simplify: 3x2 × 3x2

Answer: 9x4

3 × 3 = 9; add the exponents: 4

4.Simplify: (x7)8

Answer: x56

Multiply the exponents: 7 × 8 = 56

5.Simplify: x12 ÷ x3

Answer: x9

Subtract the exponents: 12 − 3 = 9

6.Simplify: x9 × x3

Answer: x12

Add the exponents: 9 + 3 = 12

7.Simplify: 2x2 × 3x3

Answer: 6x5

2 × 3 = 6; add the exponents: 5

8.Simplify: x7 ÷ x2

Answer: x5

Subtract the exponents: 7 − 2 = 5

9.Simplify: x8 × x8

Answer: x16

Add the exponents: 8 + 8 = 16

10.Simplify: x5 × x4

Answer: x9

Add the exponents: 5 + 4 = 9

11.Simplify: 5x4 × 2x5

Answer: 10x9

5 × 2 = 10; add the exponents: 9

12.Simplify: 5x2 × 3x2

Answer: 15x4

5 × 3 = 15; add the exponents: 4

13.Simplify: x10 ÷ x7

Answer: x3

Subtract the exponents: 10 − 7 = 3

14.Simplify: x10 ÷ x6

Answer: x4

Subtract the exponents: 10 − 6 = 4

Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.