Neil Sloane wrote: ----- Let's not start that discussion again. 0^0 is undefined. End of story. ----- Agreed. Without meaning to extend the discussion, I'd say that for certain applications, especially in combinatorics like counting the number of functions between two finite sets, there might be some value in defining 0^0 = 1 for that purpose. For situations that are more gooey than crunchy*, not so much (e.g., the value of x^y as (x,y) approaches (0,0) along some curve in the half-plane x > 0). So there's no point in trying to say what its only correct value ought to be. —Dan ——————— * Back around 1970 my grad-student friends and I used to classify various fields of mathematics as either gooey (continuous) or crunchy (discrete). Mathematicians, too.