Playing around with a calculator, I found the following:
If x=0 and y is a very small positive real number, then we have x^y=0. Shifting x just slightly into the positive suddenly results in x^y being very close to 1.
Nothing earth-shattering here, but it seems to reinforce my recommendation that 0^0 ought to be left undefined for any real-world applications. f(x,y)=x^y simply behaves too strangely close to the origin.