Question

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

Answer 1

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

Answer 2

`48m^3`

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.