To simplify the expression (-x^6y)^3 • 11x^4y^5, we can raise each term inside the parentheses to the power of 3 and then simplify further.
(-x^6y)^3 = (-1)^3 * (x^6)^3 * y^3 = -1 * x^18 * y^3 = -x^18y^3
Now we can rewrite the expression in its simplified form:
(-x^6y)^3 • 11x^4y^5 = (-x^18y^3) • 11x^4y^5
Multiplying the coefficients:
-1 • 11 = -11
Multiplying the x-terms:
x^18 • x^4 = x^(18+4) = x^22
Multiplying the y-terms:
y^3 • y^5 = y^(3+5) = y^8
Now we can rewrite the expression in its final simplified form:
(-x^6y)^3 • 11x^4y^5 = -11x^22y^8
