Year 11 Index Laws Worksheet — Level 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 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: 4x5 × 3x4
Answer: 12x9
4 × 3 = 12; add the indices: 9
2.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
3.Simplify: (x8)7
Answer: x56
Multiply the indices: 8 × 7 = 56
4.Simplify: (x3)3
Answer: x9
Multiply the indices: 3 × 3 = 9
5.Simplify: (x8)5
Answer: x40
Multiply the indices: 8 × 5 = 40
6.Simplify: 2x4 × 2x7
Answer: 4x11
2 × 2 = 4; add the indices: 11
7.Simplify: x11 ÷ x4
Answer: x7
Subtract the indices: 11 − 4 = 7
8.Simplify: (x4)2
Answer: x8
Multiply the indices: 4 × 2 = 8
9.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
10.Simplify: x7 × x9
Answer: x16
Add the indices: 7 + 9 = 16
11.Simplify: 3x8 × 4x9
Answer: 12x17
3 × 4 = 12; add the indices: 17
12.Simplify: 2x8 × 5x3
Answer: 10x11
2 × 5 = 10; add the indices: 11
13.Simplify: x12 ÷ x9
Answer: x3
Subtract the indices: 12 − 9 = 3
14.Simplify: (x5)8
Answer: x40
Multiply the indices: 5 × 8 = 40
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