$(($m^{1/2}$ $n^{-1/3}$ )/ ($n^{2/3}$ $m^{-7/4}$ ))^{-1/6}$
You asked:
Evaluate the expression: \({\left( \frac{{m}^{\frac{1}{2}} {n}^{\frac{-1}{3}}}{{n}^{\frac{2}{3}} {m}^{\frac{-7}{4}}} \right)}^{\frac{-1}{6}}\)
MathBot Answer:
\[{\left( \frac{{m}^{\frac{1}{2}} {n}^{\frac{-1}{3}}}{{n}^{\frac{2}{3}} {m}^{\frac{-7}{4}}} \right)}^{\frac{-1}{6}} = \frac{1}{\sqrt[6]{\frac{m^{\frac{9}{4}}}{n}}}\]