\(\left(\dfrac{-4}{35}z^6x^3y^5\right).\left(-5y^4xz^2\right)^2\\ =\left(\dfrac{-4}{35}z^6x^3y^5\right).\left(25y^8x^2z^4\right)\\ =\left(\dfrac{-4}{35}.25\right).\left(x^3.x^2\right).\left(y^5.y^8\right).\left(z^6.z^4\right)\\ =\dfrac{-20}{7}x^5y^{13}z^{10}\)
\(\left(\frac{-4}{35} z^{6} x^{3} y^{5}\right) \cdot\left(-5 y^{4} x z^{2}\right)^{2} =\left(\frac{-4}{35} z^{6} x^{3} y^{5}\right) \cdot\left(25 y^{8} x^{2} z^{4}\right) =\left(\frac{-4}{35} \cdot 25\right) \cdot\left(x^{3} \cdot x^{2}\right) \cdot\left(y^{5} \cdot y^{8}\right) \cdot\left(z^{6} \cdot z^{4}\right) =\frac{-20}{7} x^{5} y^{13} z^{10}\)
\(\left(\dfrac{-4}{35}z^6x^3y^5\right)\left(-5y^4xz^2\right)^2=\dfrac{20}{7}z^{10}x^5y^{21}\)
\(\left(-\dfrac{4}{35}z^6x^3y^5\right)\left(-5y^4xz^2\right)^2\)
= \(\left(-\dfrac{4}{35}z^6x^3y^5\right)\left(25y^8x^2z^4\right)\)
= \(-\dfrac{20}{7}\)z10x5y13
