(-2x^2y)^3*(5xy^3)^2=(-2x^2y)^3 = -8 x^6 y^3
*Is this correct.?
(-2x^2y)^3 * (5xy^3)^2 =
(-8x^6y^3) * (25x^2y^6) =
-200x^8y^9
When you have the same base, you add exponents when multiplying. For example, x^2 * x^3 = x^5.
When you have the same base, you multiply exponents when you have something like (x^2)^3. This would be x^6.
I hope this will help.