Answer
$2,097,152$
Work Step by Step
We want to break down this problem a little to be able to work with it. The number $64$ can be broken down into a small base raised to a power: $2^6$. Let's rewrite this number:
$(2^6)^{3.5}$
Raising a power to a power means we can multiply the two powers or exponents together:
$2^{(6)(3.5)}$
Multiply to simplify:
$2^{21}$
Simplify by raising the base to the specified power:
$2,097,152$