Advanced MathHardSimplifying a squared monomial over a monomial
Advanced Math practice question
For x ≠ 0 and y ≠ 0, which expression is equivalent to (x³y)² / (xy²)?
- A. x⁵Correct
- B. x⁴y
- C. x⁵y²
- D. x⁶/y
Answer: A. x⁵
(x³y)² = x⁶y². Divide by xy²: x⁶⁻¹ · y²⁻² = x⁵ · y⁰ = x⁵.
Why the other answers are wrong
- B. x⁴y
- x⁴y subtracts 2 from the x exponent and 1 from the y exponent — the denominators' exponents were swapped.
- C. x⁵y²
- x⁵y² forgets to divide the y² by y².
- D. x⁶/y
- x⁶/y forgets to divide by the x, and mishandles the y's.
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