There should be a button that looks like
x2
y2
Then it'll immidately put in the power of 2 to the number.
Dakota, the asker doesn't want to put a square number in.
On the web2 calc you just enter 4^8
on other calcs you may enter 4 $${{\mathtt{x}}}^{{\mathtt{y}}}$$ 8
OR on newer calcs sometimes the y is just a black box.
$${{\mathtt{4}}}^{{\mathtt{8}}} = {\mathtt{65\,536}}$$