Why is $n^0 = 1$? Why is any number to the zeroeth power equal to 1?  I would think it would be equal to zero, since nothing multiplied by nothing is, well, I would think 0.  But it is 1?
Examples:
$(-5)^0 = 1$;
$0^0 = 1$;
$5^0 = 1$;

Since $n^k=n^{k+0}=n^k \cdot n^0$. This short computation suggests that $n^0$ should be $1$.
