I have a ton of these that I want to do but I need to see how one is done to get a feel on what to do...

Let $\displaystyle \kappa$, $\displaystyle \lambda$ and $\displaystyle \mu$ be three cardinals.

Show that,

$\displaystyle

\kappa^{\lambda + \mu} = \kappa^{\lambda} \kappa^{\mu}$.