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: x7 × x7
Answer: x14
Add the indices: 7 + 7 = 14
2.Simplify: x8 ÷ x5
Answer: x3
Subtract the indices: 8 − 5 = 3
3.Simplify: (x7)3
Answer: x21
Multiply the indices: 7 × 3 = 21
4.Simplify: (x8)9
Answer: x72
Multiply the indices: 8 × 9 = 72
5.Simplify: x7 × x5
Answer: x12
Add the indices: 7 + 5 = 12
6.Simplify: 3x8 × 5x6
Answer: 15x14
3 × 5 = 15; add the indices: 14
7.Simplify: x8 ÷ x2
Answer: x6
Subtract the indices: 8 − 2 = 6
8.Simplify: (x3)4
Answer: x12
Multiply the indices: 3 × 4 = 12
9.Simplify: 5x6 × 3x3
Answer: 15x9
5 × 3 = 15; add the indices: 9
10.Simplify: x5 × x7
Answer: x12
Add the indices: 5 + 7 = 12
11.Simplify: 4x2 × 2x8
Answer: 8x10
4 × 2 = 8; add the indices: 10
12.Simplify: (x2)6
Answer: x12
Multiply the indices: 2 × 6 = 12
13.Simplify: x3 × x6
Answer: x9
Add the indices: 3 + 6 = 9
14.Simplify: (x3)3
Answer: x9
Multiply the indices: 3 × 3 = 9
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