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:
A negative index means the reciprocal: 1 ÷ 21 = 1 ÷ 2
Answer: x35
Multiply the indices: 5 × 7 = 35
Answer: 12x9
6 × 2 = 12; add the indices: 9
Answer: x12
Multiply the indices: 3 × 4 = 12
Answer:
A negative index means the reciprocal: 1 ÷ 51 = 1 ÷ 5
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: x14
Multiply the indices: 2 × 7 = 14
Answer: x10
Multiply the indices: 5 × 2 = 10
Answer:
A negative index means the reciprocal: 1 ÷ 31 = 1 ÷ 3
Answer: x35
Multiply the indices: 7 × 5 = 35
Answer: x27
Multiply the indices: 9 × 3 = 27
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: 20x7
5 × 4 = 20; add the indices: 7
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.
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