[tex]\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}
\\\\\\
\textit{Logarithm of exponentials}\\\\
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-------------------------------\\\\
log_6\left( \frac{1}{36} \right)\implies log_6\left( \frac{1}{6^2} \right)\implies log_6\left( 6^{-2} \right)\implies -2\cdot log_6(6)
\\\\\\
-2\cdot 1\implies -2[/tex]
