Write each rational expression in simplest form. State all restrictions on the variables.
15x^2y^4z / 3xy^5
To simplify the rational expression 15x^2y^4z / 3xy^5, we can cancel out common factors between the numerator and denominator.
In the numerator, we have 15x^2y^4z, and in the denominator, we have 3xy^5.
Cancelling out the common factors, we simplify the expression to:
(15x^2y^4z) / (3xy^5) = (5x^2z) / y
So, the simplified form of the rational expression is (5x^2z) / y.
As for the restrictions on the variables, we note that since we divided both sides by "y," the variable 'y' cannot be equal to zero.