I have read many articles on this confusion but i am still confused...
My simple question is -
What is $0^0$?
What is the present agreement to this?
I feel that it should be 1 as anything to the power zero is one....
I am currently a school student so i would like a more of a school based answer..
So incase it comes in my exam i should know what to write:)
Answer
$0^0$ is most often undefined. The reason is that it is not possible to define it in a good enough way. Notice the following examples:
$0^x$
Whenever $x \neq 0$ then this expression should equal to 0. However
$x^0$
should be $1$ whenever $x\neq 0$. Thus, if we define $0^0$ to either $0$ or $1$ then we get problems with these functions not being continous (without jumps if you plot them) where they are defined, which is why we keep $0^0$ undefined in most cases.
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