Respuesta :

The correct answer is C. 1/36

Because 6^2 = 36

Then, 6^4 = 1296

Next, 36/1296 = 0.027777778

0.027777778 = 1/36


Please mark as brainliest answer! :)


[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{\dfrac{6^2}{6^4}}[/tex]

[tex]\huge\textbf{Simplifying it:}[/tex]

[tex]\mathsf{\dfrac{6^2}{6^4}}[/tex]

[tex]\mathsf{= \dfrac{6\times6}{6\times6\times6\times6}}[/tex]

[tex]\mathsf{= \dfrac{36}{36\times36}}[/tex]

[tex]\mathsf{= \dfrac{36}{1,296}}[/tex]

[tex]\mathsf{= \dfrac{36\div2}{1,296\div2}}[/tex]

[tex]\mathsf{= \dfrac{18}{648}}[/tex]

[tex]\mathsf{= \dfrac{18\div2}{648\div2}}[/tex]

[tex]\mathsf{= \dfrac{9}{324}}[/tex]

[tex]\mathsf{= \dfrac{9\div9}{324\div9}}[/tex]

[tex]\mathsf{= \dfrac{1}{36}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ C.\ \dfrac{1}{36}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]