Answer
$$2\sqrt{2}yz\sqrt{z}$$
Work Step by Step
Simplifying the expression using the rules of radicals, we find:
$$ \frac{2\sqrt{11}\sqrt{2}\sqrt{11}xz^3y^{\frac{9}{2}}y^{\frac{9}{2}}\sqrt{z}}{11xy^8z^2}\\ \frac{2\cdot \:11\sqrt{2}xz^3\sqrt{z}y^{\frac{9}{2}+\frac{9}{2}}}{11xy^8z^2}\\ 2\sqrt{2}yz\sqrt{z}$$