How to factor out $x$ from $(x^n+1)^\frac{1}{n}$

Question

How do we factor x out of $(x^n+1)^\frac{1}{n}$

Answer 1

\begin{align} \left[x^{n} (1 + \frac{1}{x^{n}})\right]^\frac{1}{n} = (x^{n})^{\frac{1}{n}} \left(1 + \frac{1}{x^{n}}\right)^{\frac{1}{n}} = x \left(1 + \frac{1}{x^{n}}\right)^{\frac{1}{n}} \end{align}