# How do you simplify x (x^(2/3))^2?

Jul 5, 2016

$= {x}^{\frac{7}{3}}$

#### Explanation:

The square only applies to the bracket - multiply the indices..

$x \left({x}^{\frac{4}{3}}\right)$

Now multiply by the $x$ outside, remember the index is 1.
${x}^{\frac{4}{3} + 1} \text{ } 1 = \frac{3}{3}$
$= {x}^{\frac{7}{3}}$