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