Solve (-y^5z)(-2x^3z)(-3xy^4)

$$( - y ^ { 5 } z ) ( - 2 x ^ { 3 } z ) ( - 3 x y ^ { 4 } )$$

Evaluate

$$-6z^{2}x^{4}y^{9}$$

Solution Steps

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

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

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

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

Multiply -2 and -3 to get 6.

$$\left(-y^{5}\right)z^{2}\times 6x^{4}y^{4}$$

Multiply -1 and 6 to get -6.

$$-6y^{5}z^{2}x^{4}y^{4}$$

To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.

$$-6y^{9}z^{2}x^{4}$$

Differentiate w.r.t. x

$$-24z^{2}x^{3}y^{9}$$