From the book..." [tex]\sqrt[4]{(-4)^2}[/tex]=[tex]\sqrt[4]{16}[/tex]=2. It is incorrect to write [tex]\sqrt[4]{(-4)^2}[/tex]=[tex](-4)}^\frac{2}{4}[/tex]=[tex](-4)}^\frac{1}{2}[/tex]=[tex]\sqrt{-4}[/tex] ..."(adsbygoogle = window.adsbygoogle || []).push({});

I understand the math involved but want to be sure of the exact reason why the first part is correct and the second is not. Is it because of the inner to outer priority of operations when one operation is nested inside another?

Thanks for any answers.

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# Homework Help: Radical simplification

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