Question

what's $(\sqrt[3]{3} \sqrt{3} )^{2}$

Answer 1

${3}^{ \frac{5}{3} } is \: your \: answer$

$( { \sqrt[3]{3} })^{2} = ({{3}^{ \frac{1}{3} } })^{2} = {3}^{ \frac{2}{3} } \\ ({ \sqrt{3} })^{2} = 3 \\ \\ therefore \\ {3}^{ \frac{ 2}{3} } \times {3}^{1} \\ = {3}^{ \frac{2}{3} + 1} \\ = {3}^{ \frac{5}{3} } \\ (by \: taking \: lcm)$