Year 9 Index Laws Worksheet — Level 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 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x6 × x6
Answer: x12
Add the indices: 6 + 6 = 12
2.Simplify: 5x9 × 5x5
Answer: 25x14
5 × 5 = 25; add the indices: 14
3.Simplify: x6 × x2
Answer: x8
Add the indices: 6 + 2 = 8
4.Simplify: 2x7 × 3x3
Answer: 6x10
2 × 3 = 6; add the indices: 10
5.Simplify: x7 × x6
Answer: x13
Add the indices: 7 + 6 = 13
6.Simplify: x3 × x8
Answer: x11
Add the indices: 3 + 8 = 11
7.Simplify: x9 × x2
Answer: x11
Add the indices: 9 + 2 = 11
8.Simplify: 4x7 × 5x5
Answer: 20x12
4 × 5 = 20; add the indices: 12
9.Simplify: x7 ÷ x6
Answer: x1
Subtract the indices: 7 − 6 = 1
10.Simplify: x9 ÷ x7
Answer: x2
Subtract the indices: 9 − 7 = 2
11.Simplify: x12 ÷ x2
Answer: x10
Subtract the indices: 12 − 2 = 10
12.Simplify: x11 ÷ x4
Answer: x7
Subtract the indices: 11 − 4 = 7
13.Simplify: (x5)8
Answer: x40
Multiply the indices: 5 × 8 = 40
14.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
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.