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Sagot :
Answer is C.
3^6 is 3x3x3x3x3x3 and if you add another x3 then it’ll be 3^7
3^6 is 3x3x3x3x3x3 and if you add another x3 then it’ll be 3^7
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{3^6}\times3}\\\\\large\boxed{\mathsf{= 3\times3\times3\times3\times3\times 3\times3}}}\\\\\large\boxed{= \mathsf{9\times9 \times9 \times 3}}\\\\\large\boxed{\mathsf{= 81\times 27}}\\\\\large\boxed{\mathsf{= 2,187}}\\\huge\boxed{\mathsf{= 2,187}}}[/tex]
[tex]\large\boxed{\mathsf{Option \ A. \ 3^5 = 243}}\\\huge\boxed{\mathsf{243\neq 2,187}}\\\\\large\text{Therefore, your answer is NOT option A because it is too small.}[/tex]
[tex]\large\boxed{\mathsf{Option\ B. \ 9^6 = \bf 531,441}}\\\huge\boxed{\mathsf{531,441\neq 2,187}}}\\\\\large\text{Therefore, this also means that Option B is NOT your answer}\\\large\text{because it is too big}[/tex]
[tex]\large\boxed{\mathsf{Option\ C. 3^7 = 2,187}}\\\huge\boxed{\mathsf{2,187 = 2,187}}\\\\\large\text{Therefore, Option C. is a POSSIBLE answer}[/tex]
[tex]\large\boxed{\mathsf{Option D. 3^6 = \bf 729}}\\\huge\boxed{\mathsf{729\neq 2187}}\\\\\large\text{Therefore, Option D. is also NOT your possible answer because it}\\\large\text{is too small}[/tex]
[tex]\huge\boxed{\mathsf{Therefore, your\ answer\ is: C.) \ 3^7}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
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