On Sunday, October 20, 2013 6:12:23 PM UTC-4, Michael F. Stemper wrote: > On 10/20/2013 05:01 PM, Bart Goddard wrote: > > > Dan Christensen <Dan_Christensen@sympatico.ca> wrote in > > > news:firstname.lastname@example.org: > > > > >> Whether there are two possibilities or ten or an infinite number, the > > >> end result is the same. > > > > > > No, it's not. If one defines 0^0 = 0 or 0^0 = 1, then > > > the exponent laws work. > > > > And if you choose the second, the binomial theorem works, > > just as a bonus. >
If you leave 0^0 undefined, you have to treat things like (2+0)^3 as a separate case in the BT.
> > > (We are still discussing N, right? Not R?) >