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

In set-theory context, the number m^(n) can be interpreted as the number of maps (functions, putting one element of the second set in correspondence to each element of the first set) from an n-element set to an m-element set. A zero-element set is an empty set, and there is exactly one map from an empty set to itself (We don’t need to put anything in correspondence to any element to define that map).