Year 9 Index Laws Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x7 × x8
Answer: x15
Add the indices: 7 + 8 = 15
2.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
3.Simplify: (x9)7
Answer: x63
Multiply the indices: 9 × 7 = 63
4.Simplify: (x5)3
Answer: x15
Multiply the indices: 5 × 3 = 15
5.Simplify: x12 ÷ x4
Answer: x8
Subtract the indices: 12 − 4 = 8
6.Simplify: x3 × x9
Answer: x12
Add the indices: 3 + 9 = 12
7.Simplify: (x8)2
Answer: x16
Multiply the indices: 8 × 2 = 16
8.Simplify: 3x2 × 2x2
Answer: 6x4
3 × 2 = 6; add the indices: 4
9.Simplify: 2x2 × 5x8
Answer: 10x10
2 × 5 = 10; add the indices: 10
10.Simplify: 5x4 × 4x9
Answer: 20x13
5 × 4 = 20; add the indices: 13
11.Simplify: x3 × x8
Answer: x11
Add the indices: 3 + 8 = 11
12.Simplify: 6x5 × 4x4
Answer: 24x9
6 × 4 = 24; add the indices: 9
13.Simplify: (x2)6
Answer: x12
Multiply the indices: 2 × 6 = 12
14.Simplify: x2 × x4
Answer: x6
Add the indices: 2 + 4 = 6
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