* Robert Dewar: > Marcin Dalecki wrote: > >> There is no reason here and you presented no reasoning. But still >> there is a >> *convenient* extension of the definition domain for the power of >> function for the >> zero exponent. > > The trouble is that there are *two* possible convenient extensions.
>From a mathematical point of view, 0^0 = 1 is the more convenient one in most contexts. Otherwise, you suddenly lack a compact notation of polynomials (and power series). However, this definition is only used in a context were the exponent is an integer, so it's not really relevant to the current discussion.
