[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}}
\\\\
-------------------------------\\\\
\cfrac{3x^{-6}y^{-3}}{15x^2y^{10}}\implies \cfrac{3}{15}\cdot \cfrac{x^{-6}y^{-3}}{x^2y^{10}}\implies \cfrac{1}{5}\cdot \cfrac{1}{x^2x^6y^{10}y^3}
\\\\\\
\cfrac{1}{5}\cdot \cfrac{1}{x^{2+6}y^{10+3}}\implies \cfrac{1}{5x^8y^{13}}[/tex]
