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: x2 × x9
Answer: x11
Add the indices: 2 + 9 = 11
2.Simplify: 5x8 × 5x4
Answer: 25x12
5 × 5 = 25; add the indices: 12
3.Simplify: x4 × x6
Answer: x10
Add the indices: 4 + 6 = 10
4.Simplify: x7 × x4
Answer: x11
Add the indices: 7 + 4 = 11
5.Simplify: (x4)6
Answer: x24
Multiply the indices: 4 × 6 = 24
6.Simplify: x2 × x8
Answer: x10
Add the indices: 2 + 8 = 10
7.Simplify: x13 ÷ x3
Answer: x10
Subtract the indices: 13 − 3 = 10
8.Simplify: x10 ÷ x8
Answer: x2
Subtract the indices: 10 − 8 = 2
9.Simplify: x5 × x7
Answer: x12
Add the indices: 5 + 7 = 12
10.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
11.Simplify: (x6)9
Answer: x54
Multiply the indices: 6 × 9 = 54
12.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
13.Simplify: (x9)4
Answer: x36
Multiply the indices: 9 × 4 = 36
14.Simplify: 5x7 × 4x6
Answer: 20x13
5 × 4 = 20; add the indices: 13
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