Question

find the value of x ∜(∛(x^2 ))

Answer 1

$x \sqrt[4]{ \sqrt[3]{ {x}^{2} } } \\ = x \sqrt[4]{ { ({x}^{2}) }^{ \frac{1}{3} } } \\ = x \sqrt[4]{ {x}^{ \frac{2}{3} } } \\ = x( { {x}^{ \frac{2}{3} } )}^{ \frac{1}{4} } \\ = x( {x}^{ \frac{2}{3} \times \frac{1}{4} } ) \\ = x( {x}^{ \frac{1}{6} } ) \\ = {x}^{(1 + \frac{1}{6}) } \\ = {x}^{ \frac{7}{6} } \\ is \: the \: answer$