How do you simplify $\sqrt{\frac{x^{9}}{64}}$ $sqrt(x^9 / 64)$ ?

Question

2714 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-02T15:46:50

So, $\sqrt{\frac{x^{9}}{64}} = \frac{x^{\frac{9}{2}}}{8}$ $sqrt(x^9 / (64)) = x^color(blue)(9/2)/(8)$

$\sqrt{\frac{x^{9}}{64}}$ $sqrt(x^9 / (64)$

Square root , can also be called as second root .

So, $\sqrt{x^{9}}$ $sqrt(x^9)$ in terms of fraction:
$= x^{(9) \frac{.1}{2}}$ $= x^color(blue)((9).1/2)$

$= x^{\frac{9}{2}}$ $= x^color(blue)(9/2)$

and, $\sqrt{64} = 8$ $sqrt 64= color(blue)(8)$

So, $\sqrt{\frac{x^{9}}{64}} = \frac{x^{\frac{9}{2}}}{8}$ $sqrt(x^9 / (64)) = x^color(blue)(9/2)/(8)$

How do you simplify √x964sqrt(x^9 / 64)?