Answer
$64$
Work Step by Step
We want to break down this problem a little to be able to work with it. The number $32$ can be broken down into a small base raised to a power: $2^5$. Let us rewrite this number:
$(2^5)^{1.2}$
Raising a power to a power means we can multiply the two powers or exponents together:
$2^{(5)(1.2)}$
Multiply to simplify:
$2^{6}$
Simplify by raising the base to the specified power:
$64$