\[25^{\frac{3}{2}} + \left( \frac{1}{8} \right)^{\frac{2}{3}} - \left( \sqrt[4]{9} \right)^{2} =\]
\[= \sqrt[2]{25^{3}} + \left( 2^{- 3} \right)^{- \frac{2}{5}} - \sqrt[4]{3^{4}} =\]
\[= 5^{3} + 2^{2} - 3 =\]
\[= 125 + 4 - 3 = 126\]