Year 10 Index Laws Worksheet — Level 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 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x6 × x4
Answer: x10
Add the indices: 6 + 4 = 10
2.Simplify: 4x7 × 2x7
Answer: 8x14
4 × 2 = 8; add the indices: 14
3.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
4.Simplify: (x7)4
Answer: x28
Multiply the indices: 7 × 4 = 28
5.Simplify: 4x6 × 5x5
Answer: 20x11
4 × 5 = 20; add the indices: 11
6.Simplify: x7 × x4
Answer: x11
Add the indices: 7 + 4 = 11
7.Simplify: x2 × x9
Answer: x11
Add the indices: 2 + 9 = 11
8.Simplify: (x5)6
Answer: x30
Multiply the indices: 5 × 6 = 30
9.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
10.Simplify: x2 × x8
Answer: x10
Add the indices: 2 + 8 = 10
11.Simplify: x9 ÷ x8
Answer: x1
Subtract the indices: 9 − 8 = 1
12.Simplify: 4x8 × 2x6
Answer: 8x14
4 × 2 = 8; add the indices: 14
13.Simplify: x11 ÷ x7
Answer: x4
Subtract the indices: 11 − 7 = 4
14.Simplify: (x3)6
Answer: x18
Multiply the indices: 3 × 6 = 18
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