Question

Find the value : ${\left(\sqrt[5]{58}\right)}^{5/2}$ ${\left(16\right)}^{3/2}$

Answer 1

${\left(\sqrt[5]{58}\right)}^{5/2}$ ${\left(16\right)}^{3/2}$

$=\left(8{)}^{\frac{1}{2}}\right(4{)}^3$

$=2\sqrt{2}\times 64$

$=128\sqrt{2}$