Year 11 Index Laws Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x4 × x4
Answer: x8
Add the indices: 4 + 4 = 8
2.Simplify: x3 × x9
Answer: x12
Add the indices: 3 + 9 = 12
3.Simplify: x6 × x8
Answer: x14
Add the indices: 6 + 8 = 14
4.Simplify: x2 × x7
Answer: x9
Add the indices: 2 + 7 = 9
5.Simplify: x2 × x9
Answer: x11
Add the indices: 2 + 9 = 11
6.Simplify: x4 × x8
Answer: x12
Add the indices: 4 + 8 = 12
7.Simplify: x7 ÷ x6
Answer: x1
Subtract the indices: 7 − 6 = 1
8.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
9.Simplify: x10 ÷ x9
Answer: x1
Subtract the indices: 10 − 9 = 1
10.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
11.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
12.Simplify: x8 ÷ x5
Answer: x3
Subtract the indices: 8 − 5 = 3
13.Simplify: x9 × x5
Answer: x14
Add the indices: 9 + 5 = 14
14.Simplify: x5 × x3
Answer: x8
Add the indices: 5 + 3 = 8
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