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: x6 × x8
Answer: x14
Add the indices: 6 + 8 = 14
2.Simplify: x7 ÷ x3
Answer: x4
Subtract the indices: 7 − 3 = 4
3.Simplify: x9 ÷ x7
Answer: x2
Subtract the indices: 9 − 7 = 2
4.Simplify: x6 × x6
Answer: x12
Add the indices: 6 + 6 = 12
5.Simplify: x2 × x7
Answer: x9
Add the indices: 2 + 7 = 9
6.Simplify: x2 × x5
Answer: x7
Add the indices: 2 + 5 = 7
7.Simplify: x11 ÷ x3
Answer: x8
Subtract the indices: 11 − 3 = 8
8.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
9.Simplify: x13 ÷ x5
Answer: x8
Subtract the indices: 13 − 5 = 8
10.Simplify: x3 × x7
Answer: x10
Add the indices: 3 + 7 = 10
11.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
12.Simplify: x11 ÷ x5
Answer: x6
Subtract the indices: 11 − 5 = 6
13.Simplify: x8 × x5
Answer: x13
Add the indices: 8 + 5 = 13
14.Simplify: x4 × x6
Answer: x10
Add the indices: 4 + 6 = 10
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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