Variables, Square roots, and exponents

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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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$$ (x^{1/n}*x^{1/n})^n = (x^{2/n})^n = x^2 $$