To solve an odd problem using tetration

Thread starter Frogeyedpeas
Start date Mar 12, 2012

AI Thread Summary

The discussion focuses on transforming the expression e^{\sqrt[3]{y}} into a form without radicals. Participants explore whether applying tetration of order 3 can achieve this goal. However, attempts to tetrate the expression do not yield a non-radical result. The conversation highlights the challenges of using tetration for this specific transformation. Ultimately, the solution remains elusive, prompting further inquiry into alternative methods.

Mar 12, 2012

Frogeyedpeas

Given the expression:

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

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

Last edited by a moderator: Mar 12, 2012

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