Year 10 Index Laws Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Year 10 Index Laws Worksheet — Level 1 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x11 ÷ x7
Answer: x4
Subtract the indices: 11 − 7 = 4
2.Simplify: x6 × x2
Answer: x8
Add the indices: 6 + 2 = 8
3.Simplify: x9 × x6
Answer: x15
Add the indices: 9 + 6 = 15
4.Simplify: x13 ÷ x5
Answer: x8
Subtract the indices: 13 − 5 = 8
5.Simplify: x4 × x8
Answer: x12
Add the indices: 4 + 8 = 12
6.Simplify: x8 × x7
Answer: x15
Add the indices: 8 + 7 = 15
7.Simplify: x11 ÷ x5
Answer: x6
Subtract the indices: 11 − 5 = 6
8.Simplify: x10 ÷ x9
Answer: x1
Subtract the indices: 10 − 9 = 1
9.Simplify: x3 × x9
Answer: x12
Add the indices: 3 + 9 = 12
10.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
11.Simplify: x12 ÷ x9
Answer: x3
Subtract the indices: 12 − 9 = 3
12.Simplify: x6 ÷ x5
Answer: x1
Subtract the indices: 6 − 5 = 1
13.Simplify: x12 ÷ x3
Answer: x9
Subtract the indices: 12 − 3 = 9
14.Simplify: x8 × x3
Answer: x11
Add the indices: 8 + 3 = 11
Marking tips
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