Question

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

Answer 1

Hello there!

Let's follow order of operations to get to our answer.
(3m)(4m)²
Exponents first because these parentheses don't command us to do any operations.
3m(4²m²)
3m(16m²)
48m³
Remember, when multiplying the terms, ADD the exponents!

I really hope this helps!
Best wishes :)

Answer 2

`48m^(3)` is an equivalent expression to given expression
`(3m)(4m)^2`

Explanation:

Given expression
`(3m)(4m)^2`

We have to find an equivalent fraction to the given expression
`(3m)(4m)^2`

Consider the given expression
`(3m)(4m)^2`

Using property of exponent
`(ab)^x=a^xb^x` we have,

`(3m)(4m)^2=(3m)(4^2m^2)`

Simplifying, we get,

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

Using property of exponent
`(a^xa^y)=a^(x+y)` , we have,

`(3m)(4m)^2=3\cdot 16m^(2+1)`

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

Thus,
`48m^(3)` is an equivalent expression to given expression
`(3m)(4m)^2`