# How do you simplify (m^2)^4/(m^3m^2) and write it using only positive exponents?

Aug 25, 2016

${m}^{3}$

#### Explanation:

There are only positive exponents, let's try and keep it that way.

In the numerator: Use the power law to remove the brackets.
In the denominator: the bases are the same, add the indices.

$\frac{{\left({m}^{2}\right)}^{4}}{{m}^{3} {m}^{2}} = {m}^{8} / {m}^{5}$

The bases are the same, subtract the indices.

${m}^{8} / {m}^{5} = {m}^{3}$