Complex exponentiation is difficult.
If each of $\displaystyle z~\&~w$ is a complex number then the principal value of $\displaystyle z^w$ is $\displaystyle \exp \left( {w\text{Log} (z)} \right)$
Now $\displaystyle \text{Log}(3+4i)=\ln (5) + \arctan \left( {\frac{4}{3}} \right)i$
Now what can you do with that?