Solve r^2/stdivrs/t^2

$$\frac { r ^ { 2 } } { s t } \div \frac { r s } { t ^ { 2 } }$$

Evaluate

$$\frac{rt}{s^{2}}$$

Solution Steps

Divide \frac{r^{2}}{st} by \frac{rs}{t^{2}} by multiplying \frac{r^{2}}{st} by the reciprocal of \frac{rs}{t^{2}}.

$$\frac{r^{2}t^{2}}{strs}$$

Cancel out rt in both numerator and denominator.

$$\frac{rt}{ss}$$

Multiply s and s to get s^{2}.

$$\frac{rt}{s^{2}}$$

Differentiate w.r.t. t

$$\frac{r}{s^{2}}$$