Symbolic simplify get wrong result

For expression

((a^3*b^(1/2)*c^(-1/2))*(a*b)^1/3)/((a^3)^(1/2)*b^(1/2)*c)

Matlab get result

(a^4*b)/(3*c^(3/2)*(a^3)^(1/2))

but correct is

(a^(11/6)*b^(1/3))/c^(3/2)

Answer 1

[Torsten]

(a*b)^1/3 = (a*b)/3, not = (a*b)^(1/3)

[Boris]

Thank you so much.