Question

Simplify 3⁸ divided by 3²

A. 3-⁶
B. 3¹⁰
C.3⁴
D.3⁶​

Answer 1

`\huge\text{Hey there!}`

`\mathsf{3^8 / 3^2}\\\\\mathsf{= (3^8)/(3^2)}\\\\\mathsf{3^8}\\\mathsf{\rightarrow 3*3*3*3*3*3*3*3}\\\mathsf{\rightarrow 9*9*9*9}\\\mathsf{\rightarrow 81*81}\\\mathsf{\rightarrow \bf 6,561}\\\\\mathsf{= \frac{\bold{6,561}}{3^2}}\\\\\mathsf{3^2}\\\mathsf{\rightarrow 3*3}\\\mathsf{\rightarrow \bf 9}\\\\\mathsf{= (6,561)/(\bf 9)}\\\\\mathsf{= \bf 729\approx \large\boxed{\mathsf{3^6}}}`

`\huge\text{Therefore, your answer is: \huge\boxed{\mathsf{Option\ D. 3^6}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`

Answer 2

D

Explanation:

3^8/3^2

According to laws of indices

3^8/3^2=3^8-2

=3^6