What will be the result when zero is raised to a power of zero?

Answer 1

by definition, zero to the zero power is one. That allows the function a^a to be continous at a=0

Answer 2

There's a nice discussion of this topic at

http://mathforum.org/dr.math/faq/faq.0.to.0.power.html

Sorry -- it's turtles all the way down.