Year 10 Index Laws Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x13 ÷ x8
Answer: x5
Subtract the indices: 13 − 8 = 5
2.Simplify: (x4)5
Answer: x20
Multiply the indices: 4 × 5 = 20
3.Simplify: 5x2 × 3x2
Answer: 15x4
5 × 3 = 15; add the indices: 4
4.Simplify: x3 × x3
Answer: x6
Add the indices: 3 + 3 = 6
5.Simplify: 2x7 × 3x7
Answer: 6x14
2 × 3 = 6; add the indices: 14
6.Simplify: 4x8 × 2x7
Answer: 8x15
4 × 2 = 8; add the indices: 15
7.Simplify: (x7)3
Answer: x21
Multiply the indices: 7 × 3 = 21
8.Simplify: (x4)7
Answer: x28
Multiply the indices: 4 × 7 = 28
9.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
10.Simplify: (x3)5
Answer: x15
Multiply the indices: 3 × 5 = 15
11.Simplify: x8 × x9
Answer: x17
Add the indices: 8 + 9 = 17
12.Simplify: x2 × x8
Answer: x10
Add the indices: 2 + 8 = 10
13.Simplify: x12 ÷ x8
Answer: x4
Subtract the indices: 12 − 8 = 4
14.Simplify: x9 × x7
Answer: x16
Add the indices: 9 + 7 = 16
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