[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(2^2 \times 3^4)^3}[/tex]
[tex]\mathsf{= (2 \times 2 \times 3 \times 3 \times 3 \times3)^3}[/tex]
[tex]\mathsf{= (4 \times 9 \times 9)^3}[/tex]
[tex]\mathsf{= (4 \times 81)^3}[/tex]
[tex]\mathsf{= (324)^3}[/tex]
[tex]\mathsf{= 324^3}[/tex]
[tex]\mathsf{= 324 \times 324 \times 324}[/tex]
[tex]\mathsf{= 104,976\times324}[/tex]
[tex]\mathsf{= 34,012,224}[/tex]
[tex]\mathsf{= 2^6 \times 3^{12}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\large\boxed{\mathsf{Option\ A. 2^6 \times 3^{12}}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
