I was messing with my calculator and I found some odd stuff:

0^0 = 1 but 0/0 = undefined


but MAINLY!!

2^3^2 = 81 !!!!!!!

But shouldn't this be:
(2^3)^2 = (2*2*2)^2 = (2*2*2)*(2*2*2) = 8*8 = 64

Instead of:
2^(3^2) = (3*3)^2 = (3*3)*(3*3) = 81


But wait! Isn't the order of operations suppsoed to go from right to left?? My calculator did it from left to right!!!??


Explain. Now.


Oh, and what's the symbol for x^x^x^x^x = x?5
(like x*x*x = x^3)