If $m$ and $n$ are whole numbers such that $m^{n}=121$,then $(m-1)^{n+1}=?$

If $M = 0.1 + (0.1)^{2} + (0.001)^{2}$ and $N = 0.3 + (0.03)^{2} + (0.003)^{2}$,then what is the value of $M + N$?

Which of the following is $TRUE$?
$I.$ $\sqrt[3]{11} > \sqrt{7} > \sqrt[4]{45}$
$II.$ $\sqrt{7} > \sqrt[3]{11} > \sqrt[4]{45}$
$III.$ $\sqrt{7} > \sqrt[4]{45} > \sqrt[3]{11}$
$IV.$ $\sqrt[4]{45} > \sqrt{7} > \sqrt[3]{11}$

$3 \frac{1}{4} + 2 \frac{1}{2} - 1 \frac{5}{6} = \frac{(?)^{2}}{10} + 1 \frac{5}{12}$

Simplified form of $\left[\left(\sqrt[5]{x^{-3 / 5}}\right)^{-5 / 3}\right]^{5}$ is

If $N = \frac{\sqrt{7} - \sqrt{3}}{\sqrt{7} + \sqrt{3}}$,then what is the value of $N + \frac{1}{N}$?