[tex]\bf \left.\qquad \qquad \right.\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}}}}\\\\\\
\textit{also recall that }a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}}\\\\
-------------------------------[/tex]
[tex]\bf \cfrac{1}{x^{-\frac{3}{6}}}\implies \cfrac{1}{\frac{1}{x^{\frac{3}{6}}}}\implies \cfrac{\frac{1}{1}}{\frac{1}{x^{\frac{3}{6}}}}\implies \cfrac{1}{1}\cdot \cfrac{x^{\frac{3}{6}}}{1}\implies x^{\frac{3}{6}}\implies x^{\frac{1}{2}}\implies \sqrt[2]{x^1}
\\\\\\
\sqrt{x}[/tex]
