[tex] 125^{1/3} + 81^{3/4} + 8^{2/3} [/tex]

[tex] = {125}^{ \frac{1}{3} } + {81}^{ \frac{3}{4} } + {8}^{ \frac{2}{3} } \\ = ( {5}^{3} )^{ \frac{1}{3} } + ({3}^{4})^{ \frac{3}{4} } + ( {2}^{3} )^{ \frac{2}{3} } \\ = 5 + 3 + 2 \\ = 10[/tex]