Correct Generalization for Adair Equation?

[![enter image description here](https://i.stack.imgur.com/nelqq.png)](https://i.stack.imgur.com/nelqq.png)


I know how to derive the Adair Equation for n binding sites the long way, writing n+1 mini equations and linking them to relate all sub $K\_b$ values to $K\_{b-intrinsic}$. 


Tried to find a general formula for the adair equation and found different versions online. 


If I raise $K\_i$ to the ith power, does that make the generalization correct? 


Thanks - studying for an exam. 


