0^0
Interesting article. I ran across a problem yesterday that was similar to P(x)^Q(x) = 1, which then asked me to find the sum of the solutions. I noticed that both P(x) and Q(x) share a root at some a. But I realized, 0^0 is most often defined as 1, and carried on. Checking the answer key later on showed that they chose to neglect that a, and call 0^0 undefined. I'm not sure how I really felt about it.Note, I also forgot to check when P(x) = -1, assuming that Q(x) is even there ;P