Question

Evaluate ${\left[\frac{256}{81}\right]}^{3/4}$

Answer 1

${\left[\frac{256}{81}\right]}^{3/4}={\left[{\left(\frac{4}{3}\right)}^4\right]}^{3/4}$

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

$=\frac{64}{27}$