$\displaystyle {x}^{{0}}={1}$, where $\displaystyle {x}\ne{0}$

When you raise (almost) anything to the power zero, you get 1.

Here's the reason why this makes sense. Suppose I have $\displaystyle \frac{{5}^{{3}}}{{5}^{{3}}}$, using the quotient rule this is $\displaystyle {5}^{{{3}-{3}}}={5}^{{0}}$. I can also think of what happens when I simplify this like a fraction $\displaystyle \frac{{5}^{{3}}}{{5}^{{3}}}=\frac{{125}}{{125}}={1}$.

$\displaystyle {x}^{{0}}=\frac{{x}^{{n}}}{{x}^{{n}}}={1}$ as long as $\displaystyle {x}$ isn't zero (we cannot divide by zero).