\[\large \color{red}{2000}\left(\color{blue}{2000}^{\color{green}{2000}}\right) = \, \color{purple}? \]
If \(-1 < x < 0,\) then what is the correct ordering of \(x, x^2, x^3, \) and \(x^4?\)
True or false:
\[\huge \displaystyle \sqrt[3]{3^{3^3}} = 3^3 . \]
Evaluate \[\large 16^{0.125} - (0.5)^{-0.5} \]
\[ \huge 2^{2^{2^2}} = \ ? \]