Respuesta :

Answer:

[tex]48m^3[/tex]


Step-by-step explanation:

We use the rule  [tex](ab)^n=a^n*b^n[/tex]  to first simplify this:

[tex](3m)(4m)^2\\=(3m)((4)^{2}*(m)^{2})\\=(3m)(16m^2)\\=(3*16)*(m)(m^2)[/tex]


Now we use the rule  [tex]a^x*a^y=a^{x+y}[/tex] we simplify further and find the answer:

[tex](3*16)*(m)(m^2)\\=48m^{1+2}\\=48m^3[/tex]

The third answer choice is right.

4m^2= (4m)(4m)
=16m^2
=(16m^2)(3m)
=48m^3