Simplify ((-6x)/(x+y))/(y/(x^2))

$\frac{\frac{- 6 x}{x + y}}{\frac{y}{x^{2}}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{- 6 x}{x + y} \cdot \frac{x^{2}}{y}$

Move the negative in front of the fraction.

$- \frac{(6) x}{x + y} \cdot \frac{x^{2}}{y}$

Multiply $- \frac{6 x}{x + y} \cdot \frac{x^{2}}{y}$ .

Multiply $\frac{x^{2}}{y}$ by $\frac{6 x}{x + y}$ .

$- \frac{x^{2} (6 x)}{y (x + y)}$

Multiply $x^{2}$ by $x$ by adding the exponents.

Move $x$ .

$- \frac{x \cdot x^{2} \cdot 6}{y (x + y)}$

Multiply $x$ by $x^{2}$ .

Raise $x$ to the power of $1$ .

$- \frac{x^{1} x^{2} \cdot 6}{y (x + y)}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- \frac{x^{1 + 2} \cdot 6}{y (x + y)}$

Add $1$ and $2$ .

$- \frac{x^{3} \cdot 6}{y (x + y)}$

Move $6$ to the left of $x^{3}$ .

$- \frac{6 x^{3}}{y (x + y)}$