I think that the most intuitive way to get the idea of why 0^0 = 1 is to take the example from combinatorics. n^k is the number of distinct sequences for the sa

I think that the most intuitive way to get the idea of why 0^0 = 1 is to take the example from combinatorics. n^k is the number of distinct sequences for the sampling with replacement and ordering (for example ball picking from repository of n different balls and counting the number of distinct ways that k balls can be picked and ordered - with replacement). I think that there is only one way of ordering results of drawing zero balls from a set of 0 different balls :)