Question

Evaluate : ${\left[{\left(\frac{-4}{3}\right)}^2\right]}^3$

Answer 1

${\left(\frac{-4}{3}\right)}^6$
= $\frac{-4}{3}\times \frac{-4}{3}\times \frac{-4}{3}\times \frac{-4}{3}\times \frac{-4}{3}\times \frac{-4}{3}$
= $\frac{4096}{729}$
$\therefore {\left[{\left(\frac{-4}{3}\right)}^2\right]}^3=\frac{4096}{729}$