Exponential Formulas :

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