Year 10 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Indices & Scientific NotationYear 10 Index Laws Worksheet — Level 1 — Practice Set 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x3 × x8
Answer: x11
Add the indices: 3 + 8 = 11
2.Simplify: x8 ÷ x5
Answer: x3
Subtract the indices: 8 − 5 = 3
3.Simplify: x4 × x7
Answer: x11
Add the indices: 4 + 7 = 11
4.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
5.Simplify: x8 × x8
Answer: x16
Add the indices: 8 + 8 = 16
6.Simplify: x8 × x9
Answer: x17
Add the indices: 8 + 9 = 17
7.Simplify: x8 ÷ x4
Answer: x4
Subtract the indices: 8 − 4 = 4
8.Simplify: x4 × x9
Answer: x13
Add the indices: 4 + 9 = 13
9.Simplify: x9 ÷ x3
Answer: x6
Subtract the indices: 9 − 3 = 6
10.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
11.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
12.Simplify: x9 ÷ x8
Answer: x1
Subtract the indices: 9 − 8 = 1
13.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
14.Simplify: x7 ÷ x3
Answer: x4
Subtract the indices: 7 − 3 = 4
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