Year 8 Index Laws Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Indices & Scientific NotationYear 8 Index Laws Worksheet — Level 1 — Practice Set 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x4 × x9
Answer: x13
Add the indices: 4 + 9 = 13
2.Simplify: x12 ÷ x8
Answer: x4
Subtract the indices: 12 − 8 = 4
3.Simplify: x7 ÷ x3
Answer: x4
Subtract the indices: 7 − 3 = 4
4.Simplify: x11 ÷ x7
Answer: x4
Subtract the indices: 11 − 7 = 4
5.Simplify: x5 × x3
Answer: x8
Add the indices: 5 + 3 = 8
6.Simplify: x6 × x5
Answer: x11
Add the indices: 6 + 5 = 11
7.Simplify: x6 × x6
Answer: x12
Add the indices: 6 + 6 = 12
8.Simplify: x3 × x3
Answer: x6
Add the indices: 3 + 3 = 6
9.Simplify: x12 ÷ x3
Answer: x9
Subtract the indices: 12 − 3 = 9
10.Simplify: x8 ÷ x4
Answer: x4
Subtract the indices: 8 − 4 = 4
11.Simplify: x12 ÷ x4
Answer: x8
Subtract the indices: 12 − 4 = 8
12.Simplify: x6 × x2
Answer: x8
Add the indices: 6 + 2 = 8
13.Simplify: x9 ÷ x8
Answer: x1
Subtract the indices: 9 − 8 = 1
14.Simplify: x2 × x8
Answer: x10
Add the indices: 2 + 8 = 10
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