2. (15 points) One version of a family's common preferences utility function can be $U(c_m,c_f )=c_m^\alpha*c_f^{(1-\alpha)}$ Where $c_m$ and $c_f$ are the consumption of the family's product (Z) for person m and person f, respectively. 2.1 (7 points) If the family wants to choose cm and cf to maximize their utility subject to budget constraint $Z_mf=c_m+c_f$, solve for their optimal choice of consumption.

This is what I get:

cm = Zmf / (1 + (1-) / )

Cf = Zmf /

Why did you guys solve it without exponents?