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: x7 ÷ x4
Answer: x3
Subtract the indices: 7 − 4 = 3
2.Simplify: x12 ÷ x7
Answer: x5
Subtract the indices: 12 − 7 = 5
3.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
4.Simplify: x10 ÷ x9
Answer: x1
Subtract the indices: 10 − 9 = 1
5.Simplify: x9 × x6
Answer: x15
Add the indices: 9 + 6 = 15
6.Simplify: x8 ÷ x3
Answer: x5
Subtract the indices: 8 − 3 = 5
7.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
8.Simplify: x2 × x4
Answer: x6
Add the indices: 2 + 4 = 6
9.Simplify: x5 × x8
Answer: x13
Add the indices: 5 + 8 = 13
10.Simplify: x9 × x8
Answer: x17
Add the indices: 9 + 8 = 17
11.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
12.Simplify: x6 × x9
Answer: x15
Add the indices: 6 + 9 = 15
13.Simplify: x6 ÷ x5
Answer: x1
Subtract the indices: 6 − 5 = 1
14.Simplify: x11 ÷ x7
Answer: x4
Subtract the indices: 11 − 7 = 4
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: