# Variables, Square roots, and exponents

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.

• 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 – MPW Dec 6 '14 at 5:51

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

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