Year 9 Index Laws Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.
Year 9 Index Laws Worksheet — Level 3 — Practice Set 3 — Answers
Use the index laws. Write answers with positive indices.
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: x8
Multiply the indices: 4 × 2 = 8
Answer: x12
Multiply the indices: 4 × 3 = 12
Answer: 10x9
5 × 2 = 10; add the indices: 9
Answer: 15x14
3 × 5 = 15; add the indices: 14
Answer: x18
Multiply the indices: 3 × 6 = 18
Answer:
A negative index means the reciprocal: 1 ÷ 53 = 1 ÷ 125
Answer: x49
Multiply the indices: 7 × 7 = 49
Answer: 9x7
3 × 3 = 9; add the indices: 7
Answer: x30
Multiply the indices: 6 × 5 = 30
Answer: x27
Multiply the indices: 3 × 9 = 27
Answer:
A negative index means the reciprocal: 1 ÷ 103 = 1 ÷ 1000
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer:
A negative index means the reciprocal: 1 ÷ 22 = 1 ÷ 4
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.