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: x5 × x3
Answer: x8
Add the indices: 5 + 3 = 8
2.Simplify: x12 ÷ x2
Answer: x10
Subtract the indices: 12 − 2 = 10
3.Simplify: x9 × x6
Answer: x15
Add the indices: 9 + 6 = 15
4.Simplify: x8 ÷ x6
Answer: x2
Subtract the indices: 8 − 6 = 2
5.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
6.Simplify: x9 × x5
Answer: x14
Add the indices: 9 + 5 = 14
7.Simplify: x8 × x8
Answer: x16
Add the indices: 8 + 8 = 16
8.Simplify: x2 × x3
Answer: x5
Add the indices: 2 + 3 = 5
9.Simplify: x7 ÷ x2
Answer: x5
Subtract the indices: 7 − 2 = 5
10.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
11.Simplify: x7 ÷ x4
Answer: x3
Subtract the indices: 7 − 4 = 3
12.Simplify: x7 × x6
Answer: x13
Add the indices: 7 + 6 = 13
13.Simplify: x12 ÷ x6
Answer: x6
Subtract the indices: 12 − 6 = 6
14.Simplify: x13 ÷ x2
Answer: x11
Subtract the indices: 13 − 2 = 11
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