Year 11 Index Laws Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Indices & Scientific NotationYear 11 Index Laws Worksheet — Level 2 — Practice Set 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: 3x6 × 3x3
Answer: 9x9
3 × 3 = 9; add the indices: 9
2.Simplify: x9 × x3
Answer: x12
Add the indices: 9 + 3 = 12
3.Simplify: x8 × x5
Answer: x13
Add the indices: 8 + 5 = 13
4.Simplify: 4x6 × 2x3
Answer: 8x9
4 × 2 = 8; add the indices: 9
5.Simplify: (x6)7
Answer: x42
Multiply the indices: 6 × 7 = 42
6.Simplify: x7 × x2
Answer: x9
Add the indices: 7 + 2 = 9
7.Simplify: x6 × x3
Answer: x9
Add the indices: 6 + 3 = 9
8.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
9.Simplify: (x6)9
Answer: x54
Multiply the indices: 6 × 9 = 54
10.Simplify: (x7)4
Answer: x28
Multiply the indices: 7 × 4 = 28
11.Simplify: x7 × x6
Answer: x13
Add the indices: 7 + 6 = 13
12.Simplify: 3x5 × 2x9
Answer: 6x14
3 × 2 = 6; add the indices: 14
13.Simplify: x10 ÷ x9
Answer: x1
Subtract the indices: 10 − 9 = 1
14.Simplify: x7 ÷ x3
Answer: x4
Subtract the indices: 7 − 3 = 4
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