$\#2^{\Omega} = 2^{\#\Omega}$
So far I know that when the size of $\Omega$ is 0, we have the $\emptyset$ and the size of the power set for $\Omega$ will be 1, or $2^{0} = 1 $
How do I start by proving this for any size $n$ of $(\Omega)$.
Also does $\Omega$ have to be finite for this to be true?
I know induction has to be used but am having trouble figuring out how to begin.
Thanks for any help.