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

 

 

Enter the letters, separated by commas. For example, if you think that \(D < A < E < C < B\), then enter "D,A,E,C,B", without the quotation marks.

 Jul 2, 2020
 #1
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The correct ordering is "E,B,D,C,A".

 Jan 21, 2021

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