Question

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

Answer 1

Answer:

$48m^{3}$ is an equivalent expression to given expression $(3m)(4m)^2$

Step-by-step 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 $(3m)(4m)^2$

Answer 2

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 :)