Year 9 Index Laws Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Indices & Scientific NotationYear 9 Index Laws Worksheet — Level 2 — Practice Set 3 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x9 × x6
Answer: x15
Add the indices: 9 + 6 = 15
2.Simplify: x8 × x5
Answer: x13
Add the indices: 8 + 5 = 13
3.Simplify: x3 × x6
Answer: x9
Add the indices: 3 + 6 = 9
4.Simplify: x2 × x7
Answer: x9
Add the indices: 2 + 7 = 9
5.Simplify: x4 × x4
Answer: x8
Add the indices: 4 + 4 = 8
6.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
7.Simplify: 5x3 × 2x4
Answer: 10x7
5 × 2 = 10; add the indices: 7
8.Simplify: x12 ÷ x2
Answer: x10
Subtract the indices: 12 − 2 = 10
9.Simplify: x12 ÷ x4
Answer: x8
Subtract the indices: 12 − 4 = 8
10.Simplify: (x6)2
Answer: x12
Multiply the indices: 6 × 2 = 12
11.Simplify: (x5)5
Answer: x25
Multiply the indices: 5 × 5 = 25
12.Simplify: 5x7 × 5x7
Answer: 25x14
5 × 5 = 25; add the indices: 14
13.Simplify: (x7)8
Answer: x56
Multiply the indices: 7 × 8 = 56
14.Simplify: (x8)6
Answer: x48
Multiply the indices: 8 × 6 = 48
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