# What is the simplified radical form of (5)^(5/2)?

##### 1 Answer
Oct 16, 2015

$25 \sqrt{5}$

#### Explanation:

Keep this rule in mind:

$\textcolor{w h i t e}{X X} {a}^{\frac{m}{n}} = \sqrt[n]{{a}^{m}}$

Now that you know that rule, you can convert it to radical form.

$\textcolor{w h i t e}{X X} {5}^{\frac{5}{2}} = \sqrt{{5}^{5}}$

We can simplify this further:

$\sqrt{{5}^{5}} = \sqrt{{5}^{4} \cdot 5} = {5}^{2} \sqrt{5} = \textcolor{red}{25 \sqrt{5}}$