[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3^3\times3^3\times3}[/tex]
[tex]\mathsf{3^3 = 3 \times3\times3 = 9\times 3 = \bf 27}[/tex]
[tex]\mathsf{27\times27\times3 =\ ? }[/tex]
[tex]\mathsf{27\times27 = \bf 729}[/tex]
[tex]\mathsf{729\times 3}[/tex]
[tex]\mathsf{= \bf 2,187}[/tex]
[tex]\large\text{So you are looking for: \bf 2,187}[/tex]
[tex]\large\text{Option A.}[/tex]
[tex]\mathsf{3^6}[/tex]
[tex]\mathsf{= 3\times3\times3\times3\times 3\times3}[/tex]
[tex]\mathsf{3\times 3 = \bf 9}[/tex]
[tex]\mathsf{= 9\times 9\times 9}[/tex]
[tex]\mathsf{9\times9 = \bf 81}[/tex]
[tex]\mathsf{= 81\times9}[/tex]
[tex]\mathsf{= \bf 729}[/tex]
[tex]\large\text{So Option A is NOT equivalent because it is too small }[/tex]
[tex]\large\text{Option B.}[/tex]
[tex]\mathsf{3^7}[/tex]
[tex]\mathsf{= 3\times3\times3\times3\times3\times3 \times3}[/tex]
[tex]\mathsf{3\times 3 = \bf 9}[/tex]
[tex]\mathsf{= 9\times9\times9\times3}[/tex]
[tex]\mathsf{9\times9 = \bf 81}[/tex]
[tex]\mathsf{81\times9\times3}[/tex]
[tex]\mathsf{81\times 9 = \bf 729}[/tex]
[tex]\mathsf{729\times3}[/tex]
[tex]\mathsf{= \bf 2,187}[/tex]
[tex]\large\text{Option B. could possibly be your answer}[/tex]
[tex]\mathsf{3^9}[/tex]
[tex]\mathsf{= \bf 19,683}[/tex]
[tex]\large\text{Option C. Can’t be your answer because it’s too big!}[/tex]
[tex]\mathsf{3^{12}}[/tex]
[tex]\mathsf{= \bf 531,441}[/tex]
[tex]\large\text{Option D. cannot be your answer because it is way too big}\\\ \large\text{similar to your original answer (2,187)}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge Option B.}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
