Answer
The function is neither even nor odd.
Work Step by Step
The given function is
$\Rightarrow w(x)=5^x$
Substitute $-x$ for $x$.
$\Rightarrow w(-x)=5^{-x}$
Simplify.
$\Rightarrow w(-x)=\frac{1}{5^x}$
Because $w(-x)\neq-w(x)$ and $w(-x)\neq w(x)$, the function is neither even nor odd.