Year 11 Index Laws Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: 3x4 × 3x4
Answer: 9x8
3 × 3 = 9; add the indices: 8
2.Simplify: x10 ÷ x7
Answer: x3
Subtract the indices: 10 − 7 = 3
3.Simplify: (x3)8
Answer: x24
Multiply the indices: 3 × 8 = 24
4.Simplify: 2x2 × 2x8
Answer: 4x10
2 × 2 = 4; add the indices: 10
5.Simplify: 3x5 × 5x7
Answer: 15x12
3 × 5 = 15; add the indices: 12
6.Simplify: (x5)9
Answer: x45
Multiply the indices: 5 × 9 = 45
7.Simplify: x8 × x7
Answer: x15
Add the indices: 8 + 7 = 15
8.Simplify: x5 ÷ x2
Answer: x3
Subtract the indices: 5 − 2 = 3
9.Simplify: (x8)7
Answer: x56
Multiply the indices: 8 × 7 = 56
10.Simplify: x9 ÷ x7
Answer: x2
Subtract the indices: 9 − 7 = 2
11.Simplify: (x9)8
Answer: x72
Multiply the indices: 9 × 8 = 72
12.Simplify: x8 ÷ x2
Answer: x6
Subtract the indices: 8 − 2 = 6
13.Simplify: (x7)8
Answer: x56
Multiply the indices: 7 × 8 = 56
14.Simplify: 5x8 × 3x7
Answer: 15x15
5 × 3 = 15; add the indices: 15
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