MathNet 2008-part-03 — 165 problems (EN–VI) Question 130

Simplify the expression $x^{(x+1)^2} \cdot \left(x^{x-1}\right)^{x+1} : \frac{x^{x^2}}{x^{-2x}}$ and then compute the value of the expression for $x=\sqrt{2}$.