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