So, we know these three things:
[tex] 1. \text{ } a^b*a^c=a^{b+c} \\ 2. \text{ } (a^b)^c=a^{bc} [/tex]
So, we have:
[tex] 12^{11}*(12^2)^4=\\ 12^{11}*12^{8} =\\ 12^{11+8}=\\ 12^{19} [/tex]