10th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade exponents & scientific notation worksheet.
10th Grade Laws of Exponents Worksheet — Level 1 — Practice Set 3 — Answers
Use the laws of exponents. Write answers with positive exponents.
1.Simplify: x8 × x7
Answer: x15
Add the exponents: 8 + 7 = 15
2.Simplify: x10 ÷ x7
Answer: x3
Subtract the exponents: 10 − 7 = 3
3.Simplify: x4 × x4
Answer: x8
Add the exponents: 4 + 4 = 8
4.Simplify: x10 ÷ x2
Answer: x8
Subtract the exponents: 10 − 2 = 8
5.Simplify: x3 × x5
Answer: x8
Add the exponents: 3 + 5 = 8
6.Simplify: x9 ÷ x8
Answer: x1
Subtract the exponents: 9 − 8 = 1
7.Simplify: x5 × x4
Answer: x9
Add the exponents: 5 + 4 = 9
8.Simplify: x11 ÷ x3
Answer: x8
Subtract the exponents: 11 − 3 = 8
9.Simplify: x6 × x7
Answer: x13
Add the exponents: 6 + 7 = 13
10.Simplify: x3 × x3
Answer: x6
Add the exponents: 3 + 3 = 6
11.Simplify: x9 ÷ x3
Answer: x6
Subtract the exponents: 9 − 3 = 6
12.Simplify: x6 ÷ x3
Answer: x3
Subtract the exponents: 6 − 3 = 3
13.Simplify: x9 ÷ x2
Answer: x7
Subtract the exponents: 9 − 2 = 7
14.Simplify: x5 × x7
Answer: x12
Add the exponents: 5 + 7 = 12
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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