Answer
$125$
Work Step by Step
The given expression is
$=625^{\frac{3}{4}}$
$=625^{\frac{1}{4}\cdot 3}$
Use $a^{m\cdot n}=(a^m)^n$
$=(625^{\frac{1}{4}})^ 3$
Rewrite the expression in radical form.
$=(\sqrt[4]{625})^ 3$
Use $625=(5)^4$.
$=(\sqrt[4]{5^4})^ 3$
Evaluate.
$=(5)^3$
Simplify.
$=125$
