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