Year 8 Index Laws Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Indices & Scientific NotationYear 8 Index Laws Worksheet — Level 1 — Practice Set 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
2.Simplify: x6 × x2
Answer: x8
Add the indices: 6 + 2 = 8
3.Simplify: x8 × x5
Answer: x13
Add the indices: 8 + 5 = 13
4.Simplify: x3 × x5
Answer: x8
Add the indices: 3 + 5 = 8
5.Simplify: x8 ÷ x4
Answer: x4
Subtract the indices: 8 − 4 = 4
6.Simplify: x8 ÷ x6
Answer: x2
Subtract the indices: 8 − 6 = 2
7.Simplify: x11 ÷ x7
Answer: x4
Subtract the indices: 11 − 7 = 4
8.Simplify: x2 × x8
Answer: x10
Add the indices: 2 + 8 = 10
9.Simplify: x10 ÷ x9
Answer: x1
Subtract the indices: 10 − 9 = 1
10.Simplify: x8 × x3
Answer: x11
Add the indices: 8 + 3 = 11
11.Simplify: x5 ÷ x2
Answer: x3
Subtract the indices: 5 − 2 = 3
12.Simplify: x7 × x4
Answer: x11
Add the indices: 7 + 4 = 11
13.Simplify: x6 × x4
Answer: x10
Add the indices: 6 + 4 = 10
14.Simplify: x4 × x6
Answer: x10
Add the indices: 4 + 6 = 10
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.
Great work. Here's what to try next: