Final answer:
To divide the given expression, subtract the exponents of the terms. The result is -9x⁸y³ - 2x³y³.
Step-by-step explanation:
To divide the given expression, we can use the quotient rule of exponents. The rule states that when dividing exponential terms with the same base, we subtract the exponents.
In this case, we have (18x⁹y³+4x⁴y³) ÷ (-2xy²). The base is xy, so we subtract the exponents of x and y.
Subtracting the exponents, we get:
(18x⁹y³+4x⁴y³) ÷ (-2xy²) = -9x⁸y³ - 2x³y³