Year 9 Index Laws Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Indices & Scientific NotationYear 9 Index Laws Worksheet — Level 2 — Practice Set 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
2.Simplify: x12 ÷ x8
Answer: x4
Subtract the indices: 12 − 8 = 4
3.Simplify: x5 ÷ x3
Answer: x2
Subtract the indices: 5 − 3 = 2
4.Simplify: x5 × x5
Answer: x10
Add the indices: 5 + 5 = 10
5.Simplify: (x6)3
Answer: x18
Multiply the indices: 6 × 3 = 18
6.Simplify: x5 × x3
Answer: x8
Add the indices: 5 + 3 = 8
7.Simplify: 3x5 × 4x8
Answer: 12x13
3 × 4 = 12; add the indices: 13
8.Simplify: 4x8 × 5x7
Answer: 20x15
4 × 5 = 20; add the indices: 15
9.Simplify: x9 × x4
Answer: x13
Add the indices: 9 + 4 = 13
10.Simplify: x2 × x8
Answer: x10
Add the indices: 2 + 8 = 10
11.Simplify: 4x5 × 5x9
Answer: 20x14
4 × 5 = 20; add the indices: 14
12.Simplify: (x6)7
Answer: x42
Multiply the indices: 6 × 7 = 42
13.Simplify: 2x8 × 4x8
Answer: 8x16
2 × 4 = 8; add the indices: 16
14.Simplify: 4x7 × 3x5
Answer: 12x12
4 × 3 = 12; add the indices: 12
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