To simplify the given expression, you need to apply the exponent rules.
First, let's raise (-x^6y) to the power of 3:
(-x^6y)^3 = (-x^6)^3 * y^3
Using the rule (a^m)^n = a^(m*n), we can simplify further:
(-x^6)^3 = -x^(6*3) = -x^18
Therefore, the expression becomes:
(-x^6y)^3 * 11x^4y^5 = (-x^18 * y^3) * 11x^4y^5
Now, let's simplify the product:
(-x^18 * y^3) * 11x^4y^5 = -11x^18x^4 * y^3y^5
Using the rule a^m * a^n = a^(m+n), we can simplify further:
-11x^18x^4 * y^3y^5 = -11x^(18+4) * y^(3+5)
Simplifying the exponents:
-11x^(18+4) * y^(3+5) = -11x^22 * y^8
Therefore, the simplified expression is -11x^22y^8.
