Year 9 Index Laws Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x6 × x6
Answer: x12
Add the indices: 6 + 6 = 12
2.Simplify: x8 ÷ x4
Answer: x4
Subtract the indices: 8 − 4 = 4
3.Simplify: x2 × x2
Answer: x4
Add the indices: 2 + 2 = 4
4.Simplify: x9 × x8
Answer: x17
Add the indices: 9 + 8 = 17
5.Simplify: x10 ÷ x7
Answer: x3
Subtract the indices: 10 − 7 = 3
6.Simplify: x9 ÷ x7
Answer: x2
Subtract the indices: 9 − 7 = 2
7.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
8.Simplify: x2 × x4
Answer: x6
Add the indices: 2 + 4 = 6
9.Simplify: x9 ÷ x4
Answer: x5
Subtract the indices: 9 − 4 = 5
10.Simplify: x10 ÷ x5
Answer: x5
Subtract the indices: 10 − 5 = 5
11.Simplify: x7 ÷ x4
Answer: x3
Subtract the indices: 7 − 4 = 3
12.Simplify: x9 × x3
Answer: x12
Add the indices: 9 + 3 = 12
13.Simplify: x10 ÷ x9
Answer: x1
Subtract the indices: 10 − 9 = 1
14.Simplify: x7 ÷ x5
Answer: x2
Subtract the indices: 7 − 5 = 2
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