Year 7 Index Laws Worksheet — Level 1 (Set 3) — Answers
Answer sheet with worked solutions for the Year 7 indices & scientific notation worksheet.
Year 7 Index Laws Worksheet — Level 1 (Set 3) — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x9 × x3
Answer: x12
Add the indices: 9 + 3 = 12
2.Simplify: x2 × x6
Answer: x8
Add the indices: 2 + 6 = 8
3.Simplify: x10 ÷ x9
Answer: x1
Subtract the indices: 10 − 9 = 1
4.Simplify: x7 ÷ x3
Answer: x4
Subtract the indices: 7 − 3 = 4
5.Simplify: x2 × x4
Answer: x6
Add the indices: 2 + 4 = 6
6.Simplify: x10 ÷ x7
Answer: x3
Subtract the indices: 10 − 7 = 3
7.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
8.Simplify: x8 ÷ x5
Answer: x3
Subtract the indices: 8 − 5 = 3
9.Simplify: x11 ÷ x9
Answer: x2
Subtract the indices: 11 − 9 = 2
10.Simplify: x9 ÷ x8
Answer: x1
Subtract the indices: 9 − 8 = 1
11.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
12.Simplify: x5 × x3
Answer: x8
Add the indices: 5 + 3 = 8
13.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
14.Simplify: x9 × x9
Answer: x18
Add the indices: 9 + 9 = 18
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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