Year 10 Index Laws Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Year 10 Index Laws Worksheet — Level 3 — Practice Set 2 — Answers
Use the index laws. Write answers with positive indices.
Answer: 10x10
5 × 2 = 10; add the indices: 10
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: 20x12
5 × 4 = 20; add the indices: 12
Answer: x14
Multiply the indices: 7 × 2 = 14
Answer:
A negative index means the reciprocal: 1 ÷ 103 = 1 ÷ 1000
Answer: 1
Anything (except 0) to the power of 0 equals 1.
Answer: x54
Multiply the indices: 6 × 9 = 54
Answer: 12x11
6 × 2 = 12; add the indices: 11
Answer: 12x6
3 × 4 = 12; add the indices: 6
Answer:
A negative index means the reciprocal: 1 ÷ 102 = 1 ÷ 100
Answer:
A negative index means the reciprocal: 1 ÷ 52 = 1 ÷ 25
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: 16x9
4 × 4 = 16; add the indices: 9
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.