why does 0 to the power of 0 equal 1?

Question

why does 0 to the power of 0 equal 1?

In: 97

Answer 1

It is undefined generally, however it is very common to define it as 1 for most purposes. One way of looking at a^b is as the number of functions from a set of size b to a set of size a. When both are 0 there is a single function, the empty function.