Year 10 Index Laws Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x9 ÷ x8
Answer: x1
Subtract the indices: 9 − 8 = 1
2.Simplify: x2 × x2
Answer: x4
Add the indices: 2 + 2 = 4
3.Simplify: x11 ÷ x3
Answer: x8
Subtract the indices: 11 − 3 = 8
4.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
5.Simplify: x12 ÷ x5
Answer: x7
Subtract the indices: 12 − 5 = 7
6.Simplify: x8 ÷ x4
Answer: x4
Subtract the indices: 8 − 4 = 4
7.Simplify: x9 × x4
Answer: x13
Add the indices: 9 + 4 = 13
8.Simplify: x5 × x9
Answer: x14
Add the indices: 5 + 9 = 14
9.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
10.Simplify: x9 × x9
Answer: x18
Add the indices: 9 + 9 = 18
11.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
12.Simplify: x3 × x3
Answer: x6
Add the indices: 3 + 3 = 6
13.Simplify: x8 × x6
Answer: x14
Add the indices: 8 + 6 = 14
14.Simplify: x6 ÷ x3
Answer: x3
Subtract the indices: 6 − 3 = 3
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