Solve for P F=P(1+r)^t

$F = P {(1 + r)}^{t}$

Step 1

Rewrite the equation as $P {(1 + r)}^{t} = F$ .

$P {(1 + r)}^{t} = F$

Step 2

Divide each term in $P {(1 + r)}^{t} = F$ by ${(1 + r)}^{t}$ and simplify.

Divide each term in $P {(1 + r)}^{t} = F$ by ${(1 + r)}^{t}$ .

$\frac{P {(1 + r)}^{t}}{{(1 + r)}^{t}} = \frac{F}{{(1 + r)}^{t}}$

Simplify the left side.

Cancel the common factor of ${(1 + r)}^{t}$ .

Cancel the common factor.

$\frac{P {(1 + r)}^{t}}{{(1 + r)}^{t}} = \frac{F}{{(1 + r)}^{t}}$

Divide $P$ by $1$ .

$P = \frac{F}{{(1 + r)}^{t}}$