Find the Product x/(x-5)*(2x)/(x+4)

$\frac{x}{x - 5} \cdot \frac{2 x}{x + 4}$

Multiply $\frac{x}{x - 5}$ by $\frac{2 x}{x + 4}$ .

$\frac{x (2 x)}{(x - 5) (x + 4)}$

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

$\frac{2 (x^{1} x)}{(x - 5) (x + 4)}$

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

$\frac{2 (x^{1} x^{1})}{(x - 5) (x + 4)}$

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

$\frac{2 x^{1 + 1}}{(x - 5) (x + 4)}$

Add $1$ and $1$ .

$\frac{2 x^{2}}{(x - 5) (x + 4)}$