Year 11 Index Laws Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Indices & Scientific NotationYear 11 Index Laws Worksheet — Level 2 — Practice Set 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: 2x5 × 3x3
Answer: 6x8
2 × 3 = 6; add the indices: 8
2.Simplify: (x4)7
Answer: x28
Multiply the indices: 4 × 7 = 28
3.Simplify: x8 × x7
Answer: x15
Add the indices: 8 + 7 = 15
4.Simplify: x8 ÷ x3
Answer: x5
Subtract the indices: 8 − 3 = 5
5.Simplify: 3x4 × 4x3
Answer: 12x7
3 × 4 = 12; add the indices: 7
6.Simplify: 5x5 × 3x4
Answer: 15x9
5 × 3 = 15; add the indices: 9
7.Simplify: (x4)3
Answer: x12
Multiply the indices: 4 × 3 = 12
8.Simplify: x8 ÷ x6
Answer: x2
Subtract the indices: 8 − 6 = 2
9.Simplify: x5 × x9
Answer: x14
Add the indices: 5 + 9 = 14
10.Simplify: x2 × x7
Answer: x9
Add the indices: 2 + 7 = 9
11.Simplify: (x8)6
Answer: x48
Multiply the indices: 8 × 6 = 48
12.Simplify: 4x7 × 3x9
Answer: 12x16
4 × 3 = 12; add the indices: 16
13.Simplify: 5x2 × 4x6
Answer: 20x8
5 × 4 = 20; add the indices: 8
14.Simplify: 5x5 × 2x3
Answer: 10x8
5 × 2 = 10; add the indices: 8
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