On Sunday, November 17, 2013 10:19:33 AM UTC-5, Julio Di Egidio wrote: > "Dan Christensen" <Dan_Christensen@sympatico.ca> wrote in message > > news:email@example.com... > > > On Saturday, November 16, 2013 12:41:35 PM UTC-5, Bart Goddard wrote: > > <snip> > > >> (We'll leave aside the incorrect assumption that leaving > > >> 0^0 undefined is "common practice.") > > > > > > Every high school graduate knows that 0^0 is undefined, but not > > > necessarily why this is so. > > > > We were simply explained that 0^0 = 0/0, because x^0 = x/x when extending > > the notion of repeated multiplication to non-positive exponents.
I can see the reasoning behind it, but I don't like the idea setting two undefined expressions equal to one another.
The latest elementary algebra textbook I have (Aufmann & Lockwood, 5th ed., 2011) simple states that 0^0.
More usual, I think, is to just point of the inconsistency in the patterns given by: