Answer
$P=\dfrac{A}{(1+\frac{r}{n})^{nt}}$
Work Step by Step
Divide $(1+\frac{r}{n})^{nt}$ on both sides of the equation to obtain:
$\dfrac{A}{(1+\frac{r}{n})^{nt}}=\dfrac{P(1+\frac{r}{n})^{nt}}{(1+\frac{r}{n})^{nt}}$
Cancel the common factors to obtain:
$\require{cancel}
\\\dfrac{A}{(1+\frac{r}{n})^{nt}}=\dfrac{P(\cancel{1+\frac{r}{n})^{nt}}}{\cancel{(1+\frac{r}{n})^{nt}}}$
$\dfrac{A}{(1+\frac{r}{n})^{nt}}=P$
