Arrange the following numbers in increasing order:
\begin{align*}
A &= \frac{2^{1/2}}{4^{1/6}}\\
B &= \sqrt[12]{128}\vphantom{dfrac{2}{2} }\\
C &= \left( \frac{1}{8^{1/5}} \right)^2\\
D &= \sqrt{\frac{4^{-1}}{2^{-1} \cdot 8^{-1}}}\\
E &= \sqrt[3]{2^{1/2} \cdot 4^{-1/4}}.\vphantom{dfrac{2}{2}}
\end{align*}

Sorry, it’s in latex. Here is an image, which is easier to see.