Solve -12x^4yz^3/3x^2y

$$\frac{ -12 { x }^{ 4 } y { z }^{ 3 } }{ 3 } { x }^{ 2 } y$$

Evaluate

$$-4y^{2}z^{3}x^{6}$$

Solution Steps

Divide -12x^{4}yz^{3} by 3 to get -4x^{4}yz^{3}.

$$-4x^{4}yz^{3}x^{2}y$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$-4x^{6}yz^{3}y$$

Multiply y and y to get y^{2}.

$$-4x^{6}y^{2}z^{3}$$

Differentiate w.r.t. x

$$-24y^{2}z^{3}x^{5}$$