Respuesta :
Answer:
D
Step-by-step explanation:
3^8/3^2
According to laws of indices
3^8/3^2=3^8-2
=3^6
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3^8 \div 3^2}\\\\\mathsf{= \dfrac{3^8}{3^2}}\\\\\mathsf{3^8}\\\mathsf{\rightarrow 3\times3\times3\times3\times3\times3\times3\times3}\\\mathsf{\rightarrow 9\times9\times9\times9}\\\mathsf{\rightarrow 81\times81}\\\mathsf{\rightarrow \bf 6,561}\\\\\mathsf{= \dfrac{\bold{6,561}}{3^2}}\\\\\mathsf{3^2}\\\mathsf{\rightarrow 3\times3}\\\mathsf{\rightarrow \bf 9}\\\\\mathsf{= \dfrac{6,561}{\bf 9}}\\\\\mathsf{= \bf 729\approx \large\boxed{\mathsf{3^6}}}[/tex]
[tex]\huge\text{Therefore, your answer is: \huge\boxed{\mathsf{Option\ D. 3^6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]