Identify the non permissible vaules

4x^2 y^3 / 16x^3 y

The non-permissible values are the values of x and y that would make the denominator 0, since division by 0 is undefined. In this case, when the denominator is 0, we have:

16x^3y = 0
Since 16, x^3, and y are not variables that can be 0, the only non-permissible value is x = 0.