Question

Find the value of $(256{)}^{\frac{3}{4}}$.

Answer 1

$256=16\times 16=2^4\times 2^4$

$\Rightarrow (256{)}^{3/4}=(2^4\times 2^4{)}^{3/4}=2^3\times 2^3=8^2$

$=64$.