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.
