Simplify \(\root 3 \of {x \root 3 \of {x \root 3 \of {x \sqrt{x}}}}.\) Express your answer in simplest radical form in terms of x
Hint: Rewrite as $(x(x(x*x^{1/2})^{1/3})^{1/3})^{1/3}$ and use $x^a*x^b=x^{a+b}$ as well as $(x^a)^{b}=x^{ab}$.