Year 11 Index Laws Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x6 × x8
Answer: x14
Add the indices: 6 + 8 = 14
2.Simplify: x12 ÷ x9
Answer: x3
Subtract the indices: 12 − 9 = 3
3.Simplify: x2 × x8
Answer: x10
Add the indices: 2 + 8 = 10
4.Simplify: x12 ÷ x6
Answer: x6
Subtract the indices: 12 − 6 = 6
5.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
6.Simplify: x3 × x9
Answer: x12
Add the indices: 3 + 9 = 12
7.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
8.Simplify: x6 × x6
Answer: x12
Add the indices: 6 + 6 = 12
9.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
10.Simplify: x7 ÷ x4
Answer: x3
Subtract the indices: 7 − 4 = 3
11.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
12.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
13.Simplify: x3 × x8
Answer: x11
Add the indices: 3 + 8 = 11
14.Simplify: x2 × x5
Answer: x7
Add the indices: 2 + 5 = 7
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