Hi Him presented with problems such as (root x)^4 (root x) ^5 not sure how to solve them since its a root x. i know that root x ^2 = x but not sure about the other squares. Thanks!
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Originally Posted by minneola24 (root x)^4 (root x) ^5 i know that root x ^2 = x but not sure about the other squares. That is false: $\displaystyle \sqrt{x^2}=|x|$ But if you have $\displaystyle \sqrt x$ it is assumed that $\displaystyle x\ge 0$. Thus $\displaystyle (\sqrt x)^4=x^2~\&~(\sqrt x)^5=x^2\sqrt x$
Originally Posted by Plato That is false: $\displaystyle \sqrt{x^2}=|x|$ But if you have $\displaystyle \sqrt x$ it is assumed that $\displaystyle x\ge 0$. Thus $\displaystyle (\sqrt x)^4=x^2~\&~(\sqrt x)^5=x^2\sqrt x$ The OP was correct, since from the context of the question, he/she meant $\displaystyle \displaystyle \begin{align*} \left( \sqrt{x} \right)^2 = x \end{align*}$.
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