Answer
$\frac{2}{3}$$x^{4}$
Work Step by Step
$\frac{5x^{7}}{2x^{5}}$$\div$$\frac{15x}{4x^{3}}$=
$\frac{5x^{7}}{2x^{5}}$$\times$$\frac{4x^{3}}{15x}$=
$\frac{5x^{2}}{2}$$\times$$\frac{4x^{2}}{15}$=
$\frac{1x^{2}}{1}$$\times$$\frac{2x^{2}}{3}$=
$\frac{2}{3}$$x^{4}$