Year 11 Index Laws Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 11 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Indices & Scientific NotationYear 11 Index Laws Worksheet — Level 1 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x8 ÷ x4
Answer: x4
Subtract the indices: 8 − 4 = 4
2.Simplify: x6 ÷ x2
Answer: x4
Subtract the indices: 6 − 2 = 4
3.Simplify: x3 × x5
Answer: x8
Add the indices: 3 + 5 = 8
4.Simplify: x7 ÷ x2
Answer: x5
Subtract the indices: 7 − 2 = 5
5.Simplify: x8 × x6
Answer: x14
Add the indices: 8 + 6 = 14
6.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
7.Simplify: x12 ÷ x4
Answer: x8
Subtract the indices: 12 − 4 = 8
8.Simplify: x9 × x4
Answer: x13
Add the indices: 9 + 4 = 13
9.Simplify: x11 ÷ x4
Answer: x7
Subtract the indices: 11 − 4 = 7
10.Simplify: x8 × x4
Answer: x12
Add the indices: 8 + 4 = 12
11.Simplify: x6 × x8
Answer: x14
Add the indices: 6 + 8 = 14
12.Simplify: x6 × x6
Answer: x12
Add the indices: 6 + 6 = 12
13.Simplify: x5 × x6
Answer: x11
Add the indices: 5 + 6 = 11
14.Simplify: x8 × x2
Answer: x10
Add the indices: 8 + 2 = 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.