Year 9 Index Laws Worksheet — Level 1 — 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 1 — Practice Set 2 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x7 × x4
Answer: x11
Add the indices: 7 + 4 = 11
2.Simplify: x9 × x9
Answer: x18
Add the indices: 9 + 9 = 18
3.Simplify: x5 × x8
Answer: x13
Add the indices: 5 + 8 = 13
4.Simplify: x9 × x8
Answer: x17
Add the indices: 9 + 8 = 17
5.Simplify: x8 ÷ x2
Answer: x6
Subtract the indices: 8 − 2 = 6
6.Simplify: x9 ÷ x6
Answer: x3
Subtract the indices: 9 − 6 = 3
7.Simplify: x4 × x5
Answer: x9
Add the indices: 4 + 5 = 9
8.Simplify: x8 ÷ x5
Answer: x3
Subtract the indices: 8 − 5 = 3
9.Simplify: x9 ÷ x3
Answer: x6
Subtract the indices: 9 − 3 = 6
10.Simplify: x4 × x3
Answer: x7
Add the indices: 4 + 3 = 7
11.Simplify: x11 ÷ x9
Answer: x2
Subtract the indices: 11 − 9 = 2
12.Simplify: x5 × x5
Answer: x10
Add the indices: 5 + 5 = 10
13.Simplify: x11 ÷ x8
Answer: x3
Subtract the indices: 11 − 8 = 3
14.Simplify: x5 ÷ x3
Answer: x2
Subtract the indices: 5 − 3 = 2
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