Question 168709
ANY number (except 0) to the zeroth power is ALWAYS 1. So {{{1^0=1}}}, {{{2^0=1}}}, {{{3^0=1}}}, {{{4^0=1}}}, {{{5^0=1}}}, {{{6^0=1}}}, etc.



Now why did we exclude zero? It turns out that zero to ANY power (except 0) is 0. So {{{0^1=0}}}, {{{0^2=0}}}, {{{0^3=0}}}, {{{0^3=0}}}, {{{0^4=0}}}, {{{0^5=0}}}, etc.



So the question is: what is {{{0^0}}} ??? Is is 1 (since the exponent is 0) or is it 0 (since the base is 0)? Since this contradiction occurs (and a few other reasons), this means that {{{0^0}}} is an indeterminate expression.