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} 
