Year 10 Index Laws Worksheet — Level 2 — Practice Set 2 — 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 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: (x4)8
Answer: x32
Multiply the indices: 4 × 8 = 32
2.Simplify: (x8)8
Answer: x64
Multiply the indices: 8 × 8 = 64
3.Simplify: (x3)4
Answer: x12
Multiply the indices: 3 × 4 = 12
4.Simplify: x6 × x7
Answer: x13
Add the indices: 6 + 7 = 13
5.Simplify: x9 ÷ x7
Answer: x2
Subtract the indices: 9 − 7 = 2
6.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
7.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
8.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
9.Simplify: (x2)9
Answer: x18
Multiply the indices: 2 × 9 = 18
10.Simplify: 3x7 × 2x7
Answer: 6x14
3 × 2 = 6; add the indices: 14
11.Simplify: 6x4 × 5x3
Answer: 30x7
6 × 5 = 30; add the indices: 7
12.Simplify: x11 ÷ x9
Answer: x2
Subtract the indices: 11 − 9 = 2
13.Simplify: (x4)2
Answer: x8
Multiply the indices: 4 × 2 = 8
14.Simplify: (x8)4
Answer: x32
Multiply the indices: 8 × 4 = 32
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