Year 9 Index Laws Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x11 ÷ x7
Answer: x4
Subtract the indices: 11 − 7 = 4
2.Simplify: x12 ÷ x2
Answer: x10
Subtract the indices: 12 − 2 = 10
3.Simplify: x9 × x8
Answer: x17
Add the indices: 9 + 8 = 17
4.Simplify: x8 ÷ x6
Answer: x2
Subtract the indices: 8 − 6 = 2
5.Simplify: x13 ÷ x3
Answer: x10
Subtract the indices: 13 − 3 = 10
6.Simplify: x6 × x7
Answer: x13
Add the indices: 6 + 7 = 13
7.Simplify: x6 × x4
Answer: x10
Add the indices: 6 + 4 = 10
8.Simplify: x4 × x8
Answer: x12
Add the indices: 4 + 8 = 12
9.Simplify: x4 × x6
Answer: x10
Add the indices: 4 + 6 = 10
10.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
11.Simplify: x5 × x2
Answer: x7
Add the indices: 5 + 2 = 7
12.Simplify: x9 × x6
Answer: x15
Add the indices: 9 + 6 = 15
13.Simplify: x13 ÷ x7
Answer: x6
Subtract the indices: 13 − 7 = 6
14.Simplify: x4 × x4
Answer: x8
Add the indices: 4 + 4 = 8
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