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 ÷ x3
Answer: x6
Subtract the indices: 9 − 3 = 6
2.Simplify: x8 × x2
Answer: x10
Add the indices: 8 + 2 = 10
3.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
4.Simplify: x10 ÷ x5
Answer: x5
Subtract the indices: 10 − 5 = 5
5.Simplify: x10 ÷ x4
Answer: x6
Subtract the indices: 10 − 4 = 6
6.Simplify: x8 × x9
Answer: x17
Add the indices: 8 + 9 = 17
7.Simplify: x9 × x3
Answer: x12
Add the indices: 9 + 3 = 12
8.Simplify: x4 × x2
Answer: x6
Add the indices: 4 + 2 = 6
9.Simplify: x6 × x9
Answer: x15
Add the indices: 6 + 9 = 15
10.Simplify: x2 × x7
Answer: x9
Add the indices: 2 + 7 = 9
11.Simplify: x8 × x8
Answer: x16
Add the indices: 8 + 8 = 16
12.Simplify: x8 × x6
Answer: x14
Add the indices: 8 + 6 = 14
13.Simplify: x9 ÷ x4
Answer: x5
Subtract the indices: 9 − 4 = 5
14.Simplify: x8 × x4
Answer: x12
Add the indices: 8 + 4 = 12
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