Question

why is any number to the power of 0 equal to 1?

Answer 1

think of it like this:
\[x^0 = x^{k-k} = x^k*x^{-k} = \frac{x^k}{x^{k}} = 1\]

Answer 2

check out this link
http://www.calculatoredge.com/math/mathlogic/logicans4.htm