Question

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

Answer 1

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^th` roots, etc. left to find. It also means removing any radicals in the denominator of a fraction.

`(25/64)^(5/4) = (25)^(5/4) * (1/64)^(5/4)`

`= ((25)^5)^(1/4) * ((1/64)^5)^(1/4)`

`= (9765625)^(1/4) / (1073741824)^(1/4)`

`= 55.9017 / 181.0193 = 0.3088`