Solve -6x^2y^3(yz^3)(-3xz^2)

$$- 6 x ^ { 2 } y ^ { 3 } ( y z ^ { 3 } ) ( - 3 x z ^ { 2 } )$$

Evaluate

$$18x^{3}y^{4}z^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-6x^{3}y^{3}yz^{3}\left(-3\right)z^{2}$$

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

$$-6x^{3}y^{4}z^{3}\left(-3\right)z^{2}$$

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

$$-6x^{3}y^{4}z^{5}\left(-3\right)$$

Multiply -6 and -3 to get 18.

$$18x^{3}y^{4}z^{5}$$

Differentiate w.r.t. x

$$54x^{2}y^{4}z^{5}$$