Year 10 Index Laws Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: 4x2 × 3x2
Answer: 12x4
4 × 3 = 12; add the indices: 4
2.Simplify: (x6)5
Answer: x30
Multiply the indices: 6 × 5 = 30
3.Simplify: x6 × x7
Answer: x13
Add the indices: 6 + 7 = 13
4.Simplify: x9 × x4
Answer: x13
Add the indices: 9 + 4 = 13
5.Simplify: (x7)5
Answer: x35
Multiply the indices: 7 × 5 = 35
6.Simplify: 6x7 × 5x5
Answer: 30x12
6 × 5 = 30; add the indices: 12
7.Simplify: (x2)5
Answer: x10
Multiply the indices: 2 × 5 = 10
8.Simplify: x7 ÷ x4
Answer: x3
Subtract the indices: 7 − 4 = 3
9.Simplify: 5x9 × 4x2
Answer: 20x11
5 × 4 = 20; add the indices: 11
10.Simplify: x2 × x2
Answer: x4
Add the indices: 2 + 2 = 4
11.Simplify: 2x3 × 3x5
Answer: 6x8
2 × 3 = 6; add the indices: 8
12.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
13.Simplify: (x9)4
Answer: x36
Multiply the indices: 9 × 4 = 36
14.Simplify: (x2)4
Answer: x8
Multiply the indices: 2 × 4 = 8
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.