## Exponential Formulas :

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