Solve (frac{9x^{4}y^{-6}z^{4}}{3xy^{-6}z^{-2}})^{2}divfrac{(2xy^{2}z^{-3})^2}{(9x^-1yz^2)^9,1}

$$( \frac { 9 x ^ { 4 } y ^ { - 6 } z ^ { 4 } } { 3 x y ^ { - 6 } z ^ { - 2 } } ) ^ { 2 } \div \frac { ( 2 x y ^ { 2 } z ^ { - 3 } ) ^ { 2 } } { ( 9 x ^ { - 1 } y z ^ { 2 } ) ^ { 9,1 } }$$

Evaluate

$$\frac{3486784401\sqrt[5]{3}\times \left(\frac{y}{x}\right)^{5,1}z^{18}\left(|z|\right)^{18,2}}{4}$$

Differentiate w.r.t. x

$$-\frac{177826004451\sqrt[5]{3}\times \left(\frac{y^{\frac{51}{91}}}{x^{\frac{61}{81}}}\right)^{8,1}y^{\frac{51}{91}}z^{18}\left(|z|\right)^{18,2}}{40}$$