\[125^{\frac{2}{3}} + \left( \frac{1}{81} \right)^{- \frac{3}{4}} - \left( \sqrt[4]{36} \right)^{2} =\]
\[= \left( 5^{3} \right)^{\frac{2}{3}} + \left( 3^{- 4} \right)^{- \frac{3}{4}} - \sqrt[4]{6^{4}} =\]
\[= 5^{2} + 3^{3} - 6 =\]
\[= 25 + 27 - 6 = 46\]