[tex] 4 {a}^{4} {b}^{3} {c}^{6} [/tex] is the answer.
Explanation :-
Hey there
Lets solve this :-
[tex](2 {a}^{2})^{2}(bc^{2})^{3} [/tex]
[tex] = > {2}^{2} \times (a^{2} )^{2}b^{3}( {c}^{2})^{3} [/tex]
[tex] = > 4( {a}^{2})^{2} {b}^{3}(c^{2})^{3} [/tex]
[tex] 4 {a}^{4} {b}^{3} {c}^{6} [/tex]
Therefore [tex]4 {a}^{4} {b}^{3} {c}^{6} [/tex]is the answer