Solve P=I/PV

$$P = \frac { I } { P V }$$

Solve for I

$$I=VP^{2}$$

$$P\neq 0\text{ and }V\neq 0$$

Solution Steps

Multiply both sides of the equation by PV.

$$PPV=I$$

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

$$P^{2}V=I$$

Swap sides so that all variable terms are on the left hand side.

$$I=P^{2}V$$

Solve for P (complex solution)

$$P=-V^{-\frac{1}{2}}\sqrt{I}$$

$$P=V^{-\frac{1}{2}}\sqrt{I}\text{, }I\neq 0\text{ and }V\neq 0$$

Solve for P

$$P=\sqrt{\frac{I}{V}}$$

$$P=-\sqrt{\frac{I}{V}}\text{, }\left(V>0\text{ and }I>0\right)\text{ or }\left(V<0\text{ and }I<0\right)$$