Question

Which expression is equivalent to (3m)(4m)2?

Answer 1

Answer:

$48m^3$

Step-by-step explanation:

We use the rule  $(ab)^n=a^n*b^n$  to first simplify this:

$(3m)(4m)^2\\=(3m)((4)^{2}*(m)^{2})\\=(3m)(16m^2)\\=(3*16)*(m)(m^2)$

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

$(3*16)*(m)(m^2)\\=48m^{1+2}\\=48m^3$

The third answer choice is right.

Answer 2

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