Alg2.1.8

Simplify $\frac{20}{(1250)^\frac{1}{4}}\,$

Writing the factors to the denominator

$\frac{20}{(2\cdot625)^\frac{1}{4}}\,$

$\frac{20}{(2\cdot5^{4})^\frac{1}{4}}\,$

Simplifying further

$\frac{20}{((2)^\frac{1}{4}\cdot(5^{4})^\frac{1}{4}}\,$

$\frac{20}{((2)^\frac{1}{4}\cdot5}\,$

The solution is

$\frac{4}{(2)^\frac{1}{4}}\,$