Year 9 Index Laws Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: 2x3 × 2x8
Answer: 4x11
2 × 2 = 4; add the indices: 11
2.Simplify: x7 × x9
Answer: x16
Add the indices: 7 + 9 = 16
3.Simplify: (x7)7
Answer: x49
Multiply the indices: 7 × 7 = 49
4.Simplify: (x8)4
Answer: x32
Multiply the indices: 8 × 4 = 32
5.Simplify: 2x5 × 2x4
Answer: 4x9
2 × 2 = 4; add the indices: 9
6.Simplify: 6x3 × 4x4
Answer: 24x7
6 × 4 = 24; add the indices: 7
7.Simplify: (x9)6
Answer: x54
Multiply the indices: 9 × 6 = 54
8.Simplify: 5x5 × 5x7
Answer: 25x12
5 × 5 = 25; add the indices: 12
9.Simplify: (x4)3
Answer: x12
Multiply the indices: 4 × 3 = 12
10.Simplify: x6 × x4
Answer: x10
Add the indices: 6 + 4 = 10
11.Simplify: 2x5 × 5x2
Answer: 10x7
2 × 5 = 10; add the indices: 7
12.Simplify: (x5)7
Answer: x35
Multiply the indices: 5 × 7 = 35
13.Simplify: (x9)4
Answer: x36
Multiply the indices: 9 × 4 = 36
14.Simplify: 6x7 × 3x4
Answer: 18x11
6 × 3 = 18; add the indices: 11
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