a: \(A=\left(-5x^5y\right)^2\cdot\left(-3x^3y^4\right)^3\cdot\left(-2xy^7\right)^3\)
\(=25x^{10}y^2\cdot\left(-27\right)x^9y^{12}\cdot\left(-8\right)x^3y^{21}\)
\(=5400x^{22}y^{35}\)
b: \(B=-\dfrac{8}{27}\cdot27xy\cdot\dfrac{1}{16}a^4x^6\cdot\dfrac{64}{27}a^3y^6\)
\(=-\dfrac{32}{27}a^7x^7y^7\)