[titter]

The debate goes beyond that point, as illustrated by the lengthy Wikipedia section:

https://en.wikipedia.org/wiki/0%5E0#Zero_to_the_power_of_zer...

From an undergraduate math point of view, it's wise to understand that 0^0 is not well defined.

[Grue3]

This argument assumes that the function f(x,y)=x^y is continuous near 0 and therefore lim (f(x)^g(x)) = (lim f(x))^(lim g(x)) at zero. But since it's not continous, that formula does not necessarily hold true.