Year 9 Index Laws Worksheet — Level 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 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: (x4)2
Answer: x8
Multiply the indices: 4 × 2 = 8
2.Simplify: x2 × x6
Answer: x8
Add the indices: 2 + 6 = 8
3.Simplify: x7 × x2
Answer: x9
Add the indices: 7 + 2 = 9
4.Simplify: 4x4 × 3x6
Answer: 12x10
4 × 3 = 12; add the indices: 10
5.Simplify: 2x4 × 5x7
Answer: 10x11
2 × 5 = 10; add the indices: 11
6.Simplify: 6x4 × 3x6
Answer: 18x10
6 × 3 = 18; add the indices: 10
7.Simplify: (x5)6
Answer: x30
Multiply the indices: 5 × 6 = 30
8.Simplify: x7 ÷ x3
Answer: x4
Subtract the indices: 7 − 3 = 4
9.Simplify: x8 × x8
Answer: x16
Add the indices: 8 + 8 = 16
10.Simplify: (x3)7
Answer: x21
Multiply the indices: 3 × 7 = 21
11.Simplify: x9 ÷ x5
Answer: x4
Subtract the indices: 9 − 5 = 4
12.Simplify: x6 ÷ x5
Answer: x1
Subtract the indices: 6 − 5 = 1
13.Simplify: x4 × x4
Answer: x8
Add the indices: 4 + 4 = 8
14.Simplify: (x2)9
Answer: x18
Multiply the indices: 2 × 9 = 18
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