Solved. I'm dumb.
Since is even,
.
The solution to this problem is probably painfully obvious to most people, but I'm not making the leap for some reason. The problem is:
So, by Fermat's Little Theorem, we know that:Show that when p is an odd prime.
and .
And thus,
So, by my thinking, I need to show that , but I'm not sure how to proceed.
Any help at all would be greatly appreciated.