Year 10 Index Laws Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x5 ÷ x3
Answer: x2
Subtract the indices: 5 − 3 = 2
2.Simplify: x3 × x8
Answer: x11
Add the indices: 3 + 8 = 11
3.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
4.Simplify: x6 × x4
Answer: x10
Add the indices: 6 + 4 = 10
5.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
6.Simplify: x11 ÷ x6
Answer: x5
Subtract the indices: 11 − 6 = 5
7.Simplify: x8 ÷ x6
Answer: x2
Subtract the indices: 8 − 6 = 2
8.Simplify: x4 × x7
Answer: x11
Add the indices: 4 + 7 = 11
9.Simplify: x11 ÷ x5
Answer: x6
Subtract the indices: 11 − 5 = 6
10.Simplify: x7 × x8
Answer: x15
Add the indices: 7 + 8 = 15
11.Simplify: x4 × x6
Answer: x10
Add the indices: 4 + 6 = 10
12.Simplify: x5 ÷ x2
Answer: x3
Subtract the indices: 5 − 2 = 3
13.Simplify: x8 ÷ x2
Answer: x6
Subtract the indices: 8 − 2 = 6
14.Simplify: x11 ÷ x9
Answer: x2
Subtract the indices: 11 − 9 = 2
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