Year 10 Index Laws Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Indices & Scientific NotationYear 10 Index Laws Worksheet — Level 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x7 × x5
Answer: x12
Add the indices: 7 + 5 = 12
2.Simplify: (x3)5
Answer: x15
Multiply the indices: 3 × 5 = 15
3.Simplify: 5x5 × 5x4
Answer: 25x9
5 × 5 = 25; add the indices: 9
4.Simplify: (x9)2
Answer: x18
Multiply the indices: 9 × 2 = 18
5.Simplify: (x5)9
Answer: x45
Multiply the indices: 5 × 9 = 45
6.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
7.Simplify: 2x2 × 5x9
Answer: 10x11
2 × 5 = 10; add the indices: 11
8.Simplify: x5 × x6
Answer: x11
Add the indices: 5 + 6 = 11
9.Simplify: x9 ÷ x8
Answer: x1
Subtract the indices: 9 − 8 = 1
10.Simplify: x9 × x9
Answer: x18
Add the indices: 9 + 9 = 18
11.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
12.Simplify: 3x7 × 5x9
Answer: 15x16
3 × 5 = 15; add the indices: 16
13.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
14.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
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.