Advanced MathMediumDividing monomials in two variables
Advanced Math practice question
For x ≠ 0 and y ≠ 0, which expression is equivalent to 12x³y² / (4xy⁵)?
- A. 3x²/y³Correct
- B. 3x³y³
- C. 3x²y³
- D. 8x²/y³
Answer: A. 3x²/y³
Coefficients: 12/4 = 3. x³/x = x². y²/y⁵ = y⁻³ = 1/y³. Result: 3x²/y³.
Why the other answers are wrong
- B. 3x³y³
- The exponents were added instead of subtracted, and the y's should end up in the denominator.
- C. 3x²y³
- y²/y⁵ leaves y³ in the DENOMINATOR (2 − 5 = −3), not the numerator.
- D. 8x²/y³
- 12/4 is 3, not 8 (12 − 4).
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