# What is radical form for (25/64)^(5/4 )?

Dec 3, 2017

0.3088

#### Explanation:

Expressing in simplest radical form means simplifying a radical so that there are no more square roots or cube roots or ${4}^{t} h$ roots, etc. left to find. It also means removing any radicals in the denominator of a fraction.

${\left(\frac{25}{64}\right)}^{\frac{5}{4}} = {\left(25\right)}^{\frac{5}{4}} \cdot {\left(\frac{1}{64}\right)}^{\frac{5}{4}}$

$= {\left({\left(25\right)}^{5}\right)}^{\frac{1}{4}} \cdot {\left({\left(\frac{1}{64}\right)}^{5}\right)}^{\frac{1}{4}}$

$= {\left(9765625\right)}^{\frac{1}{4}} / {\left(1073741824\right)}^{\frac{1}{4}}$

$= \frac{55.9017}{181.0193} = 0.3088$