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.
Identify the non permissible vaules
4x^2 y^3 / 16x^3 y
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