I think you need to use binomial theorem
Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.
Find the constant term in the expansion of (2z - 1/(z*sqrt(z)) + 1)^4.
Even though this expression looks like a monster, the constant term simplifies to one.
Because 1/(z*sqrt(z))=1/(z^(3/2)=z^(2/3), the fraction cannot simplify in only the fourth power. Therefore, the only constant term is 1*1*1*1, which is 1.
I hope this helps!