Is there a proof that ?
This isn't a homework question, just something I'm curious about, but you can treat it that way if you like.
So the other day I was playing with my calculator and I noticed that
I tried it out with some other numbers and came to the conclusion that
So I wanted to see if there is a way to prove that.
I already know that and I figured that there must be a relation. So from that I can see that . However I don't understand why that would mean that .
Is what I say actually true? How do the powers fit into the proof?