Year 10 Index Laws Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x7 × x9
Answer: x16
Add the indices: 7 + 9 = 16
2.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
3.Simplify: x5 × x6
Answer: x11
Add the indices: 5 + 6 = 11
4.Simplify: x4 × x4
Answer: x8
Add the indices: 4 + 4 = 8
5.Simplify: x5 × x5
Answer: x10
Add the indices: 5 + 5 = 10
6.Simplify: x11 ÷ x9
Answer: x2
Subtract the indices: 11 − 9 = 2
7.Simplify: x9 ÷ x8
Answer: x1
Subtract the indices: 9 − 8 = 1
8.Simplify: x8 × x5
Answer: x13
Add the indices: 8 + 5 = 13
9.Simplify: x8 × x8
Answer: x16
Add the indices: 8 + 8 = 16
10.Simplify: x3 × x5
Answer: x8
Add the indices: 3 + 5 = 8
11.Simplify: x12 ÷ x8
Answer: x4
Subtract the indices: 12 − 8 = 4
12.Simplify: x12 ÷ x4
Answer: x8
Subtract the indices: 12 − 4 = 8
13.Simplify: x2 × x3
Answer: x5
Add the indices: 2 + 3 = 5
14.Simplify: x3 × x7
Answer: x10
Add the indices: 3 + 7 = 10
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