+610 Without using a calculator, order the following numbers from least to greatest:
\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*}
Give your answer as a list of capital letters separated by commas. For example, if you think that , then you would answer E,B,C,D,A.
Edited by Melody - because it is not displaying for me.
\( \begin{align*} A &= \frac{2^{1/2}}{4^{1/6}}\\ B &= \sqrt[12]{128}\vphantom{dfrac{2}{2}}\\ C&= \left( \frac{1}{8^{1/5}} \right)^2\\ D&= \sqrt{\frac{4^{-1}}{2^{-1} \cdot 8^{-1}}}\\ E&= \sqrt[3]{2^{1/2} \cdot 4^{-1/4}}.\vphantom{dfrac{2}{2}}\end{align*}\)
