For those of you that were recently discussing the debate over 0^0, I decided to do some research on the subject and this is the following I have come up with based on several mathematician's arguments.
The argument is posed because it questions the contradiction that 0 multiplied by anything must be 0, and x^0 must always be 1. So does 0^0 = 0, indeterminate, or 1?
Technically, it is impossible to say on either sides. It has been defined several times as indeterminate, and has also been defined several times as 1. Many mathematicians say pending your use, you can allow it to go either way - should your proof require it to be 1, that is acceptable. If it must be indeterminate, then that is acceptable as well. (These statements lead me to believe there may therefore be a flaw in mathematics, but that's a separate issue.)
However, considering the nature of the law of x^0, one can estimate that the limit as x->0 would still remain at 1, and therefore the general consensus of the debate is that 0^0=1.
Apr 4 2011, 2:07 pm