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I have one simple question.

If we have $\displaystyle(x^4)^\frac{1}{2}$, Can I rewrite it as this $\displaystyle |x^2|$?

I am awared that I can rewrite $\displaystyle (x^2)^\frac{1}{2} as\;|x|$ so it is most probably true. :D

thx

Zera
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naruto25
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    Yes you can write it also $|x^{2}|=x^{2}$ because it's always positive –  Dec 04 '19 at 21:43

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Yes. And you can write it as $x^2$ too, since $x^2=\lvert x^2\rvert(=\lvert x\rvert^2)$.