Year 10 Index Laws Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Year 10 Index Laws Worksheet — Level 1 — Practice Set 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x7 × x2
Answer: x9
Add the indices: 7 + 2 = 9
2.Simplify: x13 ÷ x2
Answer: x11
Subtract the indices: 13 − 2 = 11
3.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
4.Simplify: x2 × x2
Answer: x4
Add the indices: 2 + 2 = 4
5.Simplify: x9 × x7
Answer: x16
Add the indices: 9 + 7 = 16
6.Simplify: x5 × x2
Answer: x7
Add the indices: 5 + 2 = 7
7.Simplify: x5 × x5
Answer: x10
Add the indices: 5 + 5 = 10
8.Simplify: x7 × x5
Answer: x12
Add the indices: 7 + 5 = 12
9.Simplify: x2 × x5
Answer: x7
Add the indices: 2 + 5 = 7
10.Simplify: x8 × x5
Answer: x13
Add the indices: 8 + 5 = 13
11.Simplify: x8 ÷ x4
Answer: x4
Subtract the indices: 8 − 4 = 4
12.Simplify: x5 ÷ x2
Answer: x3
Subtract the indices: 5 − 2 = 3
13.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
14.Simplify: x6 × x7
Answer: x13
Add the indices: 6 + 7 = 13
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.