Year 10 Index Laws Worksheet — Level 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 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: (x3)4
Answer: x12
Multiply the indices: 3 × 4 = 12
2.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
3.Simplify: 5x8 × 4x3
Answer: 20x11
5 × 4 = 20; add the indices: 11
4.Simplify: (x4)2
Answer: x8
Multiply the indices: 4 × 2 = 8
5.Simplify: x2 × x5
Answer: x7
Add the indices: 2 + 5 = 7
6.Simplify: 4x4 × 2x5
Answer: 8x9
4 × 2 = 8; add the indices: 9
7.Simplify: (x9)3
Answer: x27
Multiply the indices: 9 × 3 = 27
8.Simplify: (x9)8
Answer: x72
Multiply the indices: 9 × 8 = 72
9.Simplify: x4 × x3
Answer: x7
Add the indices: 4 + 3 = 7
10.Simplify: x11 ÷ x9
Answer: x2
Subtract the indices: 11 − 9 = 2
11.Simplify: x6 ÷ x3
Answer: x3
Subtract the indices: 6 − 3 = 3
12.Simplify: x7 × x2
Answer: x9
Add the indices: 7 + 2 = 9
13.Simplify: x11 ÷ x3
Answer: x8
Subtract the indices: 11 − 3 = 8
14.Simplify: (x8)4
Answer: x32
Multiply the indices: 8 × 4 = 32
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