Year 10 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Indices & Scientific NotationYear 10 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x4 ÷ x2
Answer: x2
Subtract the indices: 4 − 2 = 2
2.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
3.Simplify: x6 × x2
Answer: x8
Add the indices: 6 + 2 = 8
4.Simplify: x10 ÷ x7
Answer: x3
Subtract the indices: 10 − 7 = 3
5.Simplify: x11 ÷ x6
Answer: x5
Subtract the indices: 11 − 6 = 5
6.Simplify: x6 × x3
Answer: x9
Add the indices: 6 + 3 = 9
7.Simplify: x8 × x9
Answer: x17
Add the indices: 8 + 9 = 17
8.Simplify: x13 ÷ x8
Answer: x5
Subtract the indices: 13 − 8 = 5
9.Simplify: x10 ÷ x5
Answer: x5
Subtract the indices: 10 − 5 = 5
10.Simplify: x5 × x3
Answer: x8
Add the indices: 5 + 3 = 8
11.Simplify: x11 ÷ x4
Answer: x7
Subtract the indices: 11 − 4 = 7
12.Simplify: x2 × x9
Answer: x11
Add the indices: 2 + 9 = 11
13.Simplify: x7 ÷ x4
Answer: x3
Subtract the indices: 7 − 4 = 3
14.Simplify: x10 ÷ x9
Answer: x1
Subtract the indices: 10 − 9 = 1
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