It is commonly taught that
any number to the zero power is 1,
and zero to any power is 0.
But if that is the case, what is zero to the zero power?
Well, it is undefined
(since xy as a function of 2 variables
is not continuous at the origin).
But if it could be defined,
what "should" it be? 0 or 1?
Take a poll to see what people think before you show
them any of the reasons below.
The Math Behind the Fact:
We'll give several arguments to show that the answer
"should" be 1.