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: x7 × x9
Answer: x16
Add the indices: 7 + 9 = 16
2.Simplify: 5x4 × 5x7
Answer: 25x11
5 × 5 = 25; add the indices: 11
3.Simplify: x5 × x9
Answer: x14
Add the indices: 5 + 9 = 14
4.Simplify: 2x6 × 3x6
Answer: 6x12
2 × 3 = 6; add the indices: 12
5.Simplify: 3x8 × 2x9
Answer: 6x17
3 × 2 = 6; add the indices: 17
6.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
7.Simplify: 5x5 × 3x6
Answer: 15x11
5 × 3 = 15; add the indices: 11
8.Simplify: (x9)3
Answer: x27
Multiply the indices: 9 × 3 = 27
9.Simplify: 4x6 × 5x7
Answer: 20x13
4 × 5 = 20; add the indices: 13
10.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
11.Simplify: x10 ÷ x2
Answer: x8
Subtract the indices: 10 − 2 = 8
12.Simplify: (x8)2
Answer: x16
Multiply the indices: 8 × 2 = 16
13.Simplify: x9 × x9
Answer: x18
Add the indices: 9 + 9 = 18
14.Simplify: 2x9 × 3x4
Answer: 6x13
2 × 3 = 6; add the indices: 13
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