Solución; Mira el procedimiento a seguir Mtcastro:
...................................................____....4._____...5.____
=> 4^(3/2) + 16^(5/4) - 32^(2/5) = V(4)^3 + V(16)^5 - V(32)^2
..................................................______....4.______....5_____
.............................................= V(2^2)^3 + V(2^4)^5 - V(2^5)^2
.................................................._____....4._____....5.____
.............................................= V(2^6) + V(2^20 - V(2^10)
.............................................= (2^6)^(1/2) + (2^20)^(1/4) - (2^10)^(1/5)
.............................................= 2^(6/2) + 2^(20/4) - 2^(10/5)
.............................................= 2^3 + 2^5 - 2^2
.............................................= 8 + 32 - 4
.............................................= 40 - 4
.............................................= 36 => RESPUESTA.
Espero haberte colaborado para que aprendas muy bien. Suerte.