Divide. Assume all variables are nonzero
-$-\frac{4 x^{6} y}{20 x^{5} y^{2}}$

A) $-\frac{x}{5 y}$

B) $\frac{x}{5 y}$

C) $-\frac{5 x}{y}$

D) $-\frac{x y}{5}$

Question

Divide. Assume all variables are nonzero
-$-\frac{4 x^{6} y}{20 x^{5} y^{2}}$

A) $-\frac{x}{5 y}$

B) $\frac{x}{5 y}$

C) $-\frac{5 x}{y}$

D) $-\frac{x y}{5}$

Quizplus · Accepted Answer

When dividing two fractions with the same base, subtract the exponents. Thus, $x^{6-5} = x^1 = x$ and $y^{1-2} = y^{-1} = \frac{1}{y}$. The coefficient $-\frac{4}{20}$ simplifies to $-\frac{1}{5}$. Combining these gives $-\frac{x}{5y}$.

Divide Assume All Variables Are Nonzero - −4x6y20x5y2-\frac{4 x^{6} y}{20 x^{5} y^{2}}−20x5y24x6y​

Divide Assume All Variables Are Nonzero
- $-\frac{4 x^{6} y}{20 x^{5} y^{2}}$