Year 10 Index Laws Worksheet — Level 2 — Practice Set 2 — 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 2 — Practice Set 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x8 ÷ x4
Answer: x4
Subtract the indices: 8 − 4 = 4
2.Simplify: 6x4 × 2x5
Answer: 12x9
6 × 2 = 12; add the indices: 9
3.Simplify: x12 ÷ x8
Answer: x4
Subtract the indices: 12 − 8 = 4
4.Simplify: x4 × x8
Answer: x12
Add the indices: 4 + 8 = 12
5.Simplify: (x8)7
Answer: x56
Multiply the indices: 8 × 7 = 56
6.Simplify: 5x3 × 3x9
Answer: 15x12
5 × 3 = 15; add the indices: 12
7.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
8.Simplify: x10 ÷ x2
Answer: x8
Subtract the indices: 10 − 2 = 8
9.Simplify: (x9)8
Answer: x72
Multiply the indices: 9 × 8 = 72
10.Simplify: x2 × x8
Answer: x10
Add the indices: 2 + 8 = 10
11.Simplify: (x2)7
Answer: x14
Multiply the indices: 2 × 7 = 14
12.Simplify: (x3)5
Answer: x15
Multiply the indices: 3 × 5 = 15
13.Simplify: x8 × x7
Answer: x15
Add the indices: 8 + 7 = 15
14.Simplify: 5x2 × 2x3
Answer: 10x5
5 × 2 = 10; add the indices: 5
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