Exponents Formulas and Notes
\displaystyle a^{0} = 1
\displaystyle a^{1} = a
\displaystyle a^{x}a^{y} = a^{x+y}
\displaystyle \left(a^{x} \right)^y = a^{xy}
\displaystyle \left(ab \right)^x = a^{x}b^{x}
\displaystyle \frac{a^{x}}{a^{y}} = a^{x-y}
\displaystyle \left( \frac{a}{b} \right)^{x} = \frac{a^{x}}{b^{x}}
\displaystyle a^{-n} = \frac{1}{a^{n} }
\displaystyle a^{ \frac{1}{n} } = \sqrt[n]{a}