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