Final answer:
To divide the given expression, simplify the numerator and denominator separately, and then divide the two resulting expressions. The simplified answer is 7z/y^2.
Step-by-step explanation:
To divide the given expression, we need to simplify the numerator and denominator separately, and then divide the two resulting expressions. Simplifying the numerator, we combine like terms by subtracting the exponents of the same base. By doing so, we obtain 18y^2z^4 - 4y^6z^4 = 14y^2z^4. Next, simplifying the denominator, we subtract the exponents of the same base to get 2y^4z^3. Finally, dividing the numerator by the denominator, we get:
(14y^2z^4) / (2y^4z^3) = 7(y^2/y^4)(z^4/z^3) = 7/y^2z^-1 = 7z / y^2.
Therefore, the simplified answer is 7z/y^2.
Learn more about Dividing Algebraic Expressions