Simplify: $\left(1^{3}+2^{3}+3^{3}\right)^{\frac{1}{2}}$

$\sqrt[4]{\sqrt[3]{2^{2}}}$ equals

Value of $\sqrt[4]{(81)^{-2}}$ is

Fill in the blank to make the following statement true:
$\sqrt[11]{1} = \ldots$

Simplify: $\frac{8^{\frac{1}{3}} \times 16^{\frac{1}{3}}}{32^{-\frac{1}{3}}}$

Prove that $\left(\frac{x^{a}}{x^{b}}\right)^{a+b} \times \left(\frac{x^{b}}{x^{c}}\right)^{b+c} \times \left(\frac{x^{c}}{x^{a}}\right)^{c+a} = 1$.