Solve for p a=pe^(rt)

$a = p e^{r t}$

Step 1

Rewrite the equation as $p e^{r t} = a$ .

$p e^{r t} = a$

Step 2

Divide each term in $p e^{r t} = a$ by $e^{r t}$ and simplify.

Divide each term in $p e^{r t} = a$ by $e^{r t}$ .

$\frac{p e^{r t}}{e^{r t}} = \frac{a}{e^{r t}}$

Simplify the left side.

Cancel the common factor of $e^{r t}$ .

Cancel the common factor.

$\frac{p e^{r t}}{e^{r t}} = \frac{a}{e^{r t}}$

Divide $p$ by $1$ .

$p = \frac{a}{e^{r t}}$