[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^{-1}(3^{-2})\implies \cfrac{1}{5^1}\left( \cfrac{1}{3^2} \right)\implies \cfrac{1}{5}\cdot \cfrac{1}{9}\implies \cfrac{1}{45}[/tex]