Year 9 Index Laws Worksheet — Level 3 — 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 3 — Answers
Use the index laws. Write answers with positive indices.
Answer: 8x14
2 × 4 = 8; add the indices: 14
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: 9x14
3 × 3 = 9; add the indices: 14
Answer: x49
Multiply the indices: 7 × 7 = 49
Answer: 24x8
6 × 4 = 24; add the indices: 8
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer:
A negative index means the reciprocal: 1 ÷ 32 = 1 ÷ 9
Answer:
A negative index means the reciprocal: 1 ÷ 31 = 1 ÷ 3
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: x12
Multiply the indices: 6 × 2 = 12
Answer: x81
Multiply the indices: 9 × 9 = 81
Answer: 30x8
6 × 5 = 30; add the indices: 8
Answer:
A negative index means the reciprocal: 1 ÷ 103 = 1 ÷ 1000
Answer: 8x10
4 × 2 = 8; add the indices: 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.