Success TutoringWorksheets

Year 8 Index Laws Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 8 indices & scientific notation worksheet.

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Indices & Scientific Notation

Year 8 Index Laws Worksheet — Level 1 — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x11 ÷ x8

Answer: x3

Subtract the indices: 11 − 8 = 3

2.Simplify: x3 × x2

Answer: x5

Add the indices: 3 + 2 = 5

3.Simplify: x5 × x8

Answer: x13

Add the indices: 5 + 8 = 13

4.Simplify: x3 × x4

Answer: x7

Add the indices: 3 + 4 = 7

5.Simplify: x2 × x5

Answer: x7

Add the indices: 2 + 5 = 7

6.Simplify: x11 ÷ x7

Answer: x4

Subtract the indices: 11 − 7 = 4

7.Simplify: x4 × x7

Answer: x11

Add the indices: 4 + 7 = 11

8.Simplify: x4 × x4

Answer: x8

Add the indices: 4 + 4 = 8

9.Simplify: x3 × x8

Answer: x11

Add the indices: 3 + 8 = 11

10.Simplify: x10 ÷ x4

Answer: x6

Subtract the indices: 10 − 4 = 6

11.Simplify: x4 × x5

Answer: x9

Add the indices: 4 + 5 = 9

12.Simplify: x10 ÷ x6

Answer: x4

Subtract the indices: 10 − 6 = 4

13.Simplify: x9 ÷ x5

Answer: x4

Subtract the indices: 9 − 5 = 4

14.Simplify: x5 × x2

Answer: x7

Add the indices: 5 + 2 = 7

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.