Question

Simplify: $2\sqrt[5]{5\sqrt[4]{4{\left(2^3\right)}^4}}$

Answer 1

$2\sqrt[5]{5\sqrt[4]{4(2^3{)}^4}}$

$=2\sqrt[5]{52^3}$

$={2.2}^{\frac{3}{5}}$

$=2^{\frac{8}{5}}$