[tex]\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
5^{-2}\div 5^4\implies \cfrac{5^{-2}}{5^4}\implies \cfrac{1}{5^25^4}\implies \cfrac{1}{5^{2+4}}\implies \cfrac{1}{5^6}\implies \cfrac{1}{15625}[/tex]
