\[\left( 5\frac{1}{3} \right)^{5} \cdot \left( \frac{16}{3} \right)^{- 5} \cdot \left( - \frac{17}{19} \right)^{0} =\]
\[= \left( \frac{16}{3} \right)^{5} \cdot \left( \frac{3}{16} \right)^{5} \cdot 1 = 1.\]