\(\huge\text{Hey there!}\)
\(\huge\textbf{Equation:}\)
\(\mathsf{\dfrac{6^2}{6^4}}\)
\(\huge\textbf{Simplifying it:}\)
\(\mathsf{\dfrac{6^2}{6^4}}\)
\(\mathsf{= \dfrac{6\times6}{6\times6\times6\times6}}\)
\(\mathsf{= \dfrac{36}{36\times36}}\)
\(\mathsf{= \dfrac{36}{1,296}}\)
\(\mathsf{= \dfrac{36\div2}{1,296\div2}}\)
\(\mathsf{= \dfrac{18}{648}}\)
\(\mathsf{= \dfrac{18\div2}{648\div2}}\)
\(\mathsf{= \dfrac{9}{324}}\)
\(\mathsf{= \dfrac{9\div9}{324\div9}}\)
\(\mathsf{= \dfrac{1}{36}}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\mathsf{Option\ C.\ \dfrac{1}{36}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
