I read that zero to the power of zero is suppose to be 1...

Does anyone know why this is the case? It seems silly to me. Wouldn't the logical answer be zero? To my understanding, exponentation is simply recursive multiplication, 3 ^ 4 is 3 * 3 * 3 * 3, 8 ^ 2 is 8 * 8. This would make zero to the power of x nothing. The way I see it, this should give zero, or, at the very least, an 'undefined' result. (much like dividing by zero).

?