# How do you simplify 3^(1/2) * 9^(1/3) / 27^(1/4)?

The answer is $\textcolor{red}{{3}^{\frac{5}{12}}}$.
${3}^{\frac{1}{2}} \cdot {9}^{\frac{1}{3}} / {27}^{\frac{1}{4}}$
=${3}^{\frac{1}{2}} \cdot {3}^{\frac{2}{3}} / {3}^{\frac{3}{4}}$
=${3}^{\left(\frac{1}{2} + \frac{2}{3} - \frac{3}{4}\right)}$
=${3}^{\frac{5}{12}}$($\textcolor{g r e e n}{a n s}$)