1, 1, 4, 27, 256,… ...what's the next number?

Peggy Sue 1804, Agreed. No matter how many times you multiply 0 by itself the answer will still be 0.

choose a very small number X= 0.0000001 try this in your calculator x^x try again for X= -0.0000001 both ~1

There are two rules with the 0 solution. 0^x = 0 y^0 = 1 which is preferred when x, y = 0? we do limit as x -> 0, of x^x. there is a mathematical reason, covered in first year university maths why the answer is 1. But I cannot explain here. In short it is a convenient way to ensure continuity.

Peggy Sue 1804, any number to the 0th power = 1. 0^0=1.

this is a very poor explanation.

Peggy Sue 1804, The question and answer are correct. just a little wobble in the explanation Y.N.W.A. JFT96

I think this is wrong 0 ^ 0 can't be 1.