# How do you simplify (6^(2/3)*4^(2/3))/3^(2/3)?

Apr 8, 2017

$4$

#### Explanation:

In this case all the indices are the same, although the bases are different.

You can combine all the factors into a single base:

$\frac{{6}^{\textcolor{red}{\frac{2}{3}}} \times {4}^{\textcolor{red}{\frac{2}{3}}}}{3} ^ \textcolor{red}{\frac{2}{3}} \text{ "=" } {\left(\frac{6 \times 4}{3}\right)}^{\textcolor{red}{\frac{2}{3}}}$

$= {8}^{\textcolor{red}{\frac{2}{3}}}$

$= {\left(\sqrt[3]{8}\right)}^{2}$

$= {2}^{2} = 4$