Year 9 Index Laws Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
2.Simplify: (x6)4
Answer: x24
Multiply the indices: 6 × 4 = 24
3.Simplify: (x4)5
Answer: x20
Multiply the indices: 4 × 5 = 20
4.Simplify: x7 × x9
Answer: x16
Add the indices: 7 + 9 = 16
5.Simplify: x5 × x4
Answer: x9
Add the indices: 5 + 4 = 9
6.Simplify: x8 × x9
Answer: x17
Add the indices: 8 + 9 = 17
7.Simplify: 2x2 × 5x8
Answer: 10x10
2 × 5 = 10; add the indices: 10
8.Simplify: x7 × x2
Answer: x9
Add the indices: 7 + 2 = 9
9.Simplify: (x8)9
Answer: x72
Multiply the indices: 8 × 9 = 72
10.Simplify: x9 × x4
Answer: x13
Add the indices: 9 + 4 = 13
11.Simplify: 2x5 × 4x9
Answer: 8x14
2 × 4 = 8; add the indices: 14
12.Simplify: x12 ÷ x7
Answer: x5
Subtract the indices: 12 − 7 = 5
13.Simplify: x8 ÷ x6
Answer: x2
Subtract the indices: 8 − 6 = 2
14.Simplify: (x9)9
Answer: x81
Multiply the indices: 9 × 9 = 81
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