Solve (x^{4}yz^2)(-3xz^3)(x^3y^-4)

$$( x ^ { 4 } y z ^ { 2 } ) ( - 3 x z ^ { 3 } ) ( x ^ { 3 } y ^ { - 4 } )$$

Evaluate

$$-\frac{3z^{5}x^{8}}{y^{3}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$x^{5}yz^{2}\left(-3\right)z^{3}x^{3}y^{-4}$$

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$x^{8}yz^{2}\left(-3\right)z^{3}y^{-4}$$

To multiply powers of the same base, add their exponents. Add 1 and -4 to get -3.

$$x^{8}y^{-3}z^{2}\left(-3\right)z^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$x^{8}y^{-3}z^{5}\left(-3\right)$$

Differentiate w.r.t. x

$$-\frac{24z^{5}x^{7}}{y^{3}}$$