Year 10 Index Laws Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x9 ÷ x2
Answer: x7
Subtract the indices: 9 − 2 = 7
2.Simplify: 4x7 × 2x6
Answer: 8x13
4 × 2 = 8; add the indices: 13
3.Simplify: 4x8 × 3x9
Answer: 12x17
4 × 3 = 12; add the indices: 17
4.Simplify: x8 ÷ x2
Answer: x6
Subtract the indices: 8 − 2 = 6
5.Simplify: (x3)6
Answer: x18
Multiply the indices: 3 × 6 = 18
6.Simplify: 6x5 × 3x5
Answer: 18x10
6 × 3 = 18; add the indices: 10
7.Simplify: 4x2 × 5x2
Answer: 20x4
4 × 5 = 20; add the indices: 4
8.Simplify: x2 × x8
Answer: x10
Add the indices: 2 + 8 = 10
9.Simplify: x10 ÷ x7
Answer: x3
Subtract the indices: 10 − 7 = 3
10.Simplify: (x6)7
Answer: x42
Multiply the indices: 6 × 7 = 42
11.Simplify: x3 × x9
Answer: x12
Add the indices: 3 + 9 = 12
12.Simplify: 3x3 × 3x9
Answer: 9x12
3 × 3 = 9; add the indices: 12
13.Simplify: (x8)7
Answer: x56
Multiply the indices: 8 × 7 = 56
14.Simplify: 3x5 × 4x8
Answer: 12x13
3 × 4 = 12; add the indices: 13
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