Year 10 Index Laws Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Year 10 Index Laws Worksheet — Level 3 — Practice Set 4 — Answers
Use the index laws. Write answers with positive indices.
Answer: 24x8
6 × 4 = 24; add the indices: 8
Answer: 12x8
3 × 4 = 12; add the indices: 8
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: 20x11
5 × 4 = 20; add the indices: 11
Answer: 18x8
6 × 3 = 18; add the indices: 8
Answer:
A negative index means the reciprocal: 1 ÷ 52 = 1 ÷ 25
Answer:
A negative index means the reciprocal: 1 ÷ 103 = 1 ÷ 1000
Answer: x28
Multiply the indices: 4 × 7 = 28
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: x54
Multiply the indices: 9 × 6 = 54
Answer: 15x9
5 × 3 = 15; add the indices: 9
Answer:
A negative index means the reciprocal: 1 ÷ 53 = 1 ÷ 125
Answer: x45
Multiply the indices: 9 × 5 = 45
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.