Year 9 Index Laws Worksheet — Level 1 — 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 1 — Practice Set 4 — Answers
Use the index laws. Write answers with positive indices.
1.Simplify: x7 × x7
Answer: x14
Add the indices: 7 + 7 = 14
2.Simplify: x3 × x4
Answer: x7
Add the indices: 3 + 4 = 7
3.Simplify: x7 ÷ x6
Answer: x1
Subtract the indices: 7 − 6 = 1
4.Simplify: x13 ÷ x8
Answer: x5
Subtract the indices: 13 − 8 = 5
5.Simplify: x8 × x7
Answer: x15
Add the indices: 8 + 7 = 15
6.Simplify: x11 ÷ x5
Answer: x6
Subtract the indices: 11 − 5 = 6
7.Simplify: x8 ÷ x5
Answer: x3
Subtract the indices: 8 − 5 = 3
8.Simplify: x3 × x2
Answer: x5
Add the indices: 3 + 2 = 5
9.Simplify: x10 ÷ x6
Answer: x4
Subtract the indices: 10 − 6 = 4
10.Simplify: x4 × x8
Answer: x12
Add the indices: 4 + 8 = 12
11.Simplify: x13 ÷ x9
Answer: x4
Subtract the indices: 13 − 9 = 4
12.Simplify: x5 × x2
Answer: x7
Add the indices: 5 + 2 = 7
13.Simplify: x7 × x9
Answer: x16
Add the indices: 7 + 9 = 16
14.Simplify: x6 ÷ x5
Answer: x1
Subtract the indices: 6 − 5 = 1
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