Simplify the following rational expression, Identify the non-permissible vaule(s)
4x^2 y^3 / 16x^3 y
To simplify the rational expression, we can simplify the numerator and denominator separately.
Numerator: 4x^2 * y^3 = 4x^2y^3
Denominator: 16x^3 * y = 16x^3y
Now, we divide the numerator and denominator by their common factor:
4x^2y^3 / 16x^3y = (4/16) * (x^2/x^3) * (y^3/y)
Simplifying further:
= (1/4) * (1/x) * y^2
The simplified expression is (1/4)(y^2/x).
Now, let's identify the non-permissible values. In this case, the non-permissible values are the values of x and y where the expression is undefined. Since there are no restrictions mentioned in the given problem, we can say that all real numbers can be values for x and y. Therefore, there are no non-permissible values for this rational expression.