Year 10 Index Laws Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Year 10 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:
A negative index means the reciprocal: 1 ÷ 103 = 1 ÷ 1000
Answer:
A negative index means the reciprocal: 1 ÷ 33 = 1 ÷ 27
Answer: x18
Multiply the indices: 9 × 2 = 18
Answer:
A negative index means the reciprocal: 1 ÷ 32 = 1 ÷ 9
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: x48
Multiply the indices: 8 × 6 = 48
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: 18x12
6 × 3 = 18; add the indices: 12
Answer: x21
Multiply the indices: 7 × 3 = 21
Answer:
A negative index means the reciprocal: 1 ÷ 102 = 1 ÷ 100
Answer: x36
Multiply the indices: 6 × 6 = 36
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: x6
Multiply the indices: 3 × 2 = 6
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.