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: x12 ÷ x8
Answer: x4
Subtract the indices: 12 − 8 = 4
2.Simplify: x7 ÷ x4
Answer: x3
Subtract the indices: 7 − 4 = 3
3.Simplify: x4 ÷ x3
Answer: x1
Subtract the indices: 4 − 3 = 1
4.Simplify: x11 ÷ x5
Answer: x6
Subtract the indices: 11 − 5 = 6
5.Simplify: x7 × x5
Answer: x12
Add the indices: 7 + 5 = 12
6.Simplify: x8 × x6
Answer: x14
Add the indices: 8 + 6 = 14
7.Simplify: x11 ÷ x9
Answer: x2
Subtract the indices: 11 − 9 = 2
8.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
9.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
10.Simplify: x6 ÷ x4
Answer: x2
Subtract the indices: 6 − 4 = 2
11.Simplify: x7 × x6
Answer: x13
Add the indices: 7 + 6 = 13
12.Simplify: x9 × x4
Answer: x13
Add the indices: 9 + 4 = 13
13.Simplify: x2 × x4
Answer: x6
Add the indices: 2 + 4 = 6
14.Simplify: x9 ÷ x7
Answer: x2
Subtract the indices: 9 − 7 = 2
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