Devin Jeanpierre <jeanpierreda at gmail.com>: > If 0**0 is defined, it must be 1. You can "justify" any value a within [0, 1]. For example, choose y(a, x) = log(a, x) Then, lim y(a, x) = 0 x -> 0+ and: lim[x -> 0+] x**y(a, x) = a For example, >>> a = 0.5 >>> x = 1e-100 >>> y = math.log(a, x) >>> y 0.0030102999566398118 >>> x**y 0.5 Marko