Question

Simplify:

${\left(\frac{625}{256}\right)}^{-\frac{3}{4}}$.

Answer 1

Now,

${\left(\frac{625}{256}\right)}^{-\frac{3}{4}}$

$={\left(\frac{5^4}{4^4}\right)}^{-\frac{3}{4}}$

$={\left(\frac{5}{4}\right)}^{-3}$

$={\left(\frac{4}{5}\right)}^3$

$=\frac{64}{125}$.