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Answer : $x^2$

I got $x^n$, shouldn't I be multiplying the variables in the parentheses first. Thus cancelling out the roots and left with $x$ then to the power of n? thus -> $x^n$ ? Please explain step by step.

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  • $\begingroup$ FYI, you can write that radical "$\sqrt[n]{x}$" using the notation \sqrt[n]{x}, and you can get the multiplication symbol "$\cdot$" using \cdot $\endgroup$ – MPW Dec 6 '14 at 5:51
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$$ (x^{1/n}*x^{1/n})^n = (x^{2/n})^n = x^2 $$

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  • $\begingroup$ When multiplying two variables with the same base we add the exponents. When we have a power to a power, we multiply those powers. $\endgroup$ – mathamphetamines Dec 6 '14 at 5:11

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