The simplified form of the expression (17x³y² - 27x³y⁷) ÷ (-3x²y³) is (-17/3)xy(-¹).
To divide the expression (17x³y² - 27x³y⁷) by (-3x²y³), we can simplify the expression by dividing each term individually.
Let's divide each term:
(17x³y²) ÷ (-3x²y³) = (17/(-3)) × (x³/x²) × (y²/y³)
Simplifying the coefficients:
(17/(-3)) = -17/3
Simplifying the variables:
(x³/x²) = x(³-²) = x
(y²/y³) = y(²-³) = 1/y
Putting it all together:
(17x³y² - 27x³y⁷) ÷ (-3x²y³) = (-17/3)xy(-¹)
Therefore, the simplified form of the expression (17x³y² - 27x³y⁷) ÷ (-3x²y³) is (-17/3)xy(-¹).