#### Answer

$$\frac{16}{x}$$

#### Work Step by Step

First, find and divide out any common factors:
$$\frac{8x^{2}}{5}\times \frac{10}{x^{3}}=\bigg(\frac{8\times x^{2}}{5}\bigg)\times \bigg(\frac{5\times 2}{x^{2}\times x}\bigg).$$
In this case, cancel the factors $5$ and $x^{2}$, and the result is
$$=8\times \bigg(\frac{2}{x}\bigg)=\frac{16}{x}.$$