Year 10 Index Laws Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x7 × x2
Answer: x9
Add the indices: 7 + 2 = 9
2.Simplify: (x5)3
Answer: x15
Multiply the indices: 5 × 3 = 15
3.Simplify: x12 ÷ x9
Answer: x3
Subtract the indices: 12 − 9 = 3
4.Simplify: x10 ÷ x3
Answer: x7
Subtract the indices: 10 − 3 = 7
5.Simplify: x12 ÷ x2
Answer: x10
Subtract the indices: 12 − 2 = 10
6.Simplify: x8 ÷ x7
Answer: x1
Subtract the indices: 8 − 7 = 1
7.Simplify: x7 × x3
Answer: x10
Add the indices: 7 + 3 = 10
8.Simplify: x12 ÷ x4
Answer: x8
Subtract the indices: 12 − 4 = 8
9.Simplify: (x6)7
Answer: x42
Multiply the indices: 6 × 7 = 42
10.Simplify: (x9)8
Answer: x72
Multiply the indices: 9 × 8 = 72
11.Simplify: x8 × x6
Answer: x14
Add the indices: 8 + 6 = 14
12.Simplify: 5x3 × 5x2
Answer: 25x5
5 × 5 = 25; add the indices: 5
13.Simplify: 3x9 × 4x5
Answer: 12x14
3 × 4 = 12; add the indices: 14
14.Simplify: x9 × x2
Answer: x11
Add the indices: 9 + 2 = 11
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