What are the excluded values of (8x^3 y) / (27xy^5)
simplified: 8x^2/27y^4
exclude values where the denominator is zero.
so, exclude y=0
To find the excluded values in a rational expression, we need to identify the values that would make the expression undefined. In this case, the expression is (8x^3y) / (27xy^5), which can be simplified to 8x^2 / 27y^4.
The expression becomes undefined when the denominator is equal to zero. Therefore, we need to find the values of x and y that make the denominator, 27y^4, equal to zero.
To do this, we set the denominator equal to zero and solve for y:
27y^4 = 0
Dividing both sides by 27, we get:
y^4 = 0 / 27
y^4 = 0
The only solution to this equation is y = 0.
Therefore, the excluded value for y in the original expression (8x^3y) / (27xy^5) is y = 0.
Note that there are no excluded values for x in this expression.