Assume that \(x\) is a positive real number. Then simplify
\[\large \sqrt[3]{x\sqrt{x}}\]
\(\sqrt[3]{x\sqrt{x}} =\sqrt[3]{x^{1+\frac{1}{2}}} =\sqrt[3]{x^{\frac{3}{2}}}\)
Note that we can simplify DewdropDancer's answer just a little more
(x^(3/2)) ^(1/3) = x^[ (3/2) * (1/3) ] = x^(1/2) = √ x
Ah yes, I missed that part.
No prob.....you did 99% of the work !!!!
+240 
