[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}}
\\\\
-------------------------------\\\\
(w^2)^{-5}\cdot w^{-3}\implies w^{2\cdot -5}\cdot w^{-3}\implies w^{-10}\cdot w^{-3}
\\\\\\
w^{-10-3}\implies w^{-13}\implies \cfrac{1}{w^{13}}[/tex]
