A balloon is made of a material of surface tension $S$ and its inflation outlet (from where gas is filled in it) has small area $A$. It is filled with a gas of density $\rho$ and takes a spherical shape of radius $R$. When the gas is allowed to flow freely out of it, its radius $r$ changes from $R$ to 0 (zero) in time $T$. If the speed $v(r)$ of gas coming out of the balloon depends on $r$ as $r^a$ and $T\propto S^\alpha A^\beta \rho^\gamma R^\delta$ then:
Excess pressure $\Delta P = \tfrac{4S}{r}$; Bernoulli gives $v = \sqrt{8S/(\rho r)}\propto r^{-1/2}$ so $a=-\tfrac12$. From $Av = -4\pi r^2\tfrac{dr}{dt}$, integrating $r$ from $R$ to 0 gives $T\propto R^{7/2}A^{-1}S^{-1/2}\rho^{1/2}$, i.e. $\alpha=-\tfrac12,\beta=-1,\gamma=\tfrac12,\delta=\tfrac72$.