\documentclass[a4paper,12pt]{article}
\newcommand\ds{\displaystyle}
\begin{document}

\parindent=0pt

QUESTION Simplify $\ds\frac{x(x^2)^\frac{1}{3}}{x^\frac{1}{2}}$


\bigskip

ANSWER

$\ds\frac{x(x^2)^\frac{1}{3}}{x^\frac{1}{2}}
=\frac{xx^\frac{2}{3}}{x^\frac{1}{2}}
=x^{1+\frac{2}{3}-\frac{1}{2}} =x^\frac{7}{6}$





\end{document}
