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36 = 6^2

1/6^2 = 6^ (-2)

\[\dfrac{1}{36} = 6^{-2}\]HINT

\(log_6\dfrac{1}{36}=x\)
convert into exponential form
\(6^x=\dfrac{1}{36}\)
\(6^x=6^{-1}\)

6^-2*

Now compare powers since bases are same.