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: x8 × x6
Answer: x14
Add the indices: 8 + 6 = 14
2.Simplify: x3 × x2
Answer: x5
Add the indices: 3 + 2 = 5
3.Simplify: x7 × x5
Answer: x12
Add the indices: 7 + 5 = 12
4.Simplify: x11 ÷ x4
Answer: x7
Subtract the indices: 11 − 4 = 7
5.Simplify: x10 ÷ x4
Answer: x6
Subtract the indices: 10 − 4 = 6
6.Simplify: x6 × x2
Answer: x8
Add the indices: 6 + 2 = 8
7.Simplify: x9 × x8
Answer: x17
Add the indices: 9 + 8 = 17
8.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
9.Simplify: x4 ÷ x3
Answer: x1
Subtract the indices: 4 − 3 = 1
10.Simplify: x3 × x8
Answer: x11
Add the indices: 3 + 8 = 11
11.Simplify: x12 ÷ x7
Answer: x5
Subtract the indices: 12 − 7 = 5
12.Simplify: x5 ÷ x3
Answer: x2
Subtract the indices: 5 − 3 = 2
13.Simplify: x12 ÷ x9
Answer: x3
Subtract the indices: 12 − 9 = 3
14.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
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