Year 9 Index Laws Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Indices & Scientific NotationYear 9 Index Laws Worksheet — Level 1 — Practice Set 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x10 ÷ x5
Answer: x5
Subtract the indices: 10 − 5 = 5
2.Simplify: x10 ÷ x7
Answer: x3
Subtract the indices: 10 − 7 = 3
3.Simplify: x2 × x5
Answer: x7
Add the indices: 2 + 5 = 7
4.Simplify: x3 × x7
Answer: x10
Add the indices: 3 + 7 = 10
5.Simplify: x8 ÷ x3
Answer: x5
Subtract the indices: 8 − 3 = 5
6.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
7.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
8.Simplify: x7 × x3
Answer: x10
Add the indices: 7 + 3 = 10
9.Simplify: x9 × x9
Answer: x18
Add the indices: 9 + 9 = 18
10.Simplify: x8 ÷ x7
Answer: x1
Subtract the indices: 8 − 7 = 1
11.Simplify: x5 × x6
Answer: x11
Add the indices: 5 + 6 = 11
12.Simplify: x5 × x3
Answer: x8
Add the indices: 5 + 3 = 8
13.Simplify: x6 × x9
Answer: x15
Add the indices: 6 + 9 = 15
14.Simplify: x12 ÷ x7
Answer: x5
Subtract the indices: 12 − 7 = 5
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