Exponential Formulas :
\[ a^p = \underbrace{a \cdot a \cdot \dots a }_p ~~~( \text{if} ~~ p \in \mathbb{N} )\]
\[a^0 = 1 ~~~ (\text{if} ~~~ a \ne 0)\]
\[a^r \cdot a^s = a^{r+s}\]
\[\frac{a^r}{a^s} = a^{r-s}\]
\[\left( a^r\right)^s = a^{r \cdot s}\]
\[(a \cdot b)^r = b^r \cdot a^r\]
\[\left( \frac{a}{b} \right)^r = \frac{a^r}{b^r}\]
\[a^{-r} = \frac{1}{a^r}\]
\[a^{\Large\frac{r}{s}} = \sqrt[\Large{s}]{a^r}\]