# How do you simplify 2m^2 * 2m^3?

Mar 5, 2016

Well, we can treat the coefficients independently from the variables.

Thus, we have that $2 \cdot 2 = 4$

Now, we must multiply ${m}^{2} \cdot {m}^{3}$

We must add the exponents together to get ${m}^{5}$

Thus, our answer is $4 {m}^{5}$

This is because ${m}^{2}$ can be written as $m \cdot m$ and the same thing for ${m}^{3}$

Therefore, our original equation would be

$2 \cdot m \cdot m \cdot 2 \cdot m \cdot m \cdot m$

We can just combine the like terms and get

$4 \cdot {m}^{5}$