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# algebra question

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Simplify $$\root 3 \of {x \root 3 \of {x \root 3 \of {x \sqrt{x}}}}.$$ Express your answer in simplest radical form in terms of x

Feb 25, 2021
edited by MysticBoba  Feb 25, 2021

Hint: Rewrite as $(x(x(x*x^{1/2})^{1/3})^{1/3})^{1/3}$ and use $x^a*x^b=x^{a+b}$ as well as $(x^a)^{b}=x^{ab}$.