Делаем по действиям:
1) ((x^3/2 + a^3/2)/a^1/2)^1/5 =(x^3/2 + a^3/2)^1/5 /a^1/10=
=((x^1/2 +a^1/2)(x - x^1/2a^1/2 + a^1/2)/a^1/2)^1/5
2)()x^1/2(x^1/2 - a^1/2)/(x - x^1/2a^1/2 - x^1/2a^1/2 +a +x^1/2a^1/2))^1/5 =
=((x - x^1/2a^1/2 + a^1/2))^1/5
3)((x^1/2 +a^1/2)(x - x^1/2a^1/2 + a^1/2)|a^1/2)^1/5*((x - x^1/2a^1/2 + +a^1/2))^1/5= (x-a)^1/5* x^1/10/a^1/10
4)(x-a)^1/5* x^1/10/a^1/10 * (x-a)^3/10 =(x-a)1/2*x^1/10/a^1/10