Year 9 Index Laws Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.
Year 9 Index Laws Worksheet — Level 1 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
2.Simplify: x5 × x6
Answer: x11
Add the indices: 5 + 6 = 11
3.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
4.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
5.Simplify: x10 ÷ x9
Answer: x1
Subtract the indices: 10 − 9 = 1
6.Simplify: x4 × x7
Answer: x11
Add the indices: 4 + 7 = 11
7.Simplify: x3 × x2
Answer: x5
Add the indices: 3 + 2 = 5
8.Simplify: x10 ÷ x3
Answer: x7
Subtract the indices: 10 − 3 = 7
9.Simplify: x9 ÷ x7
Answer: x2
Subtract the indices: 9 − 7 = 2
10.Simplify: x9 × x8
Answer: x17
Add the indices: 9 + 8 = 17
11.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
12.Simplify: x9 × x7
Answer: x16
Add the indices: 9 + 7 = 16
13.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
14.Simplify: x6 ÷ x5
Answer: x1
Subtract the indices: 6 − 5 = 1
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.
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