Year 9 Index Laws Worksheet — Level 2 — Practice Set 2 — 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 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: 2x8 × 3x9
Answer: 6x17
2 × 3 = 6; add the indices: 17
2.Simplify: x9 × x5
Answer: x14
Add the indices: 9 + 5 = 14
3.Simplify: x8 × x6
Answer: x14
Add the indices: 8 + 6 = 14
4.Simplify: (x5)7
Answer: x35
Multiply the indices: 5 × 7 = 35
5.Simplify: 3x6 × 3x9
Answer: 9x15
3 × 3 = 9; add the indices: 15
6.Simplify: x11 ÷ x7
Answer: x4
Subtract the indices: 11 − 7 = 4
7.Simplify: (x4)9
Answer: x36
Multiply the indices: 4 × 9 = 36
8.Simplify: 3x2 × 4x8
Answer: 12x10
3 × 4 = 12; add the indices: 10
9.Simplify: x5 ÷ x2
Answer: x3
Subtract the indices: 5 − 2 = 3
10.Simplify: x11 ÷ x9
Answer: x2
Subtract the indices: 11 − 9 = 2
11.Simplify: x4 × x2
Answer: x6
Add the indices: 4 + 2 = 6
12.Simplify: (x2)8
Answer: x16
Multiply the indices: 2 × 8 = 16
13.Simplify: (x9)5
Answer: x45
Multiply the indices: 9 × 5 = 45
14.Simplify: 2x7 × 5x8
Answer: 10x15
2 × 5 = 10; add the indices: 15
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