(-x6y)³•11x⁴y5

To simplify the given expression (-x^6y)^3 ÷ 11x^4y^5, we can apply the power rule for exponents.

First, we'll raise the base (-x^6y) to the power of 3, which means we multiply the exponents of x and y by 3:

((-x^6y)^3) = (-x^(63)y^(13)) = (-x^18y^3)

Now, we'll divide the result by 11x^4y^5.

(-x^18y^3 ÷ 11x^4y^5) can be simplified by subtracting exponents when dividing like bases.

x^18 ÷ x^4 = x^(18-4) = x^14 y^3 ÷ y^5 = y^(3-5) = y^(-2) = 1/y^2

So, our final simplified expression is: (-x^18y^3 ÷ 11x^4y^5) = -x^14 ÷ (11y^2)