Question

Evaluate $[(16{)}^{\frac{3}{2}}{]}^2$

Answer 1

We have,

${\left[{\left(16\right)}^{\frac{3}{2}}\right]}^2$

We know that

${\left[{\left(a\right)}^m\right]}^n=a^{mn}$

Therefore,

$={\left(16\right)}^{\frac{3}{2}\times 2}$

$={\left(16\right)}^3$

$=4096$

Hence, this is the answer.