# How do you simplify sqrt(x^9 / 64)?

Jul 2, 2015

So, $\sqrt{{x}^{9} / \left(64\right)} = {x}^{\textcolor{b l u e}{\frac{9}{2}}} / \left(8\right)$

#### Explanation:

sqrt(x^9 / (64)

Square root , can also be called as second root .

So, $\sqrt{{x}^{9}}$ in terms of fraction:
$= {x}^{\textcolor{b l u e}{\left(9\right) \frac{.1}{2}}}$

$= {x}^{\textcolor{b l u e}{\frac{9}{2}}}$

and, $\sqrt{64} = \textcolor{b l u e}{8}$

So, $\sqrt{{x}^{9} / \left(64\right)} = {x}^{\textcolor{b l u e}{\frac{9}{2}}} / \left(8\right)$