To solve an odd problem using tetration

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Frogeyedpeas
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Given the expression:

[itex]e^{\sqrt[3]{y}}[/itex]

What numerical operator must this expression undergo to make it so that there are no radicals in the expression.

Would a simple tetration to the order 3 finish the job? Whenever I try to tetrate the number It doesn't come out to a non-radical expression. Thanks guys
 
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