Solve -4xy^2z*(-5x^2yz^2)

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

Evaluate

$$20\left(xyz\right)^{3}$$

Solution Steps

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

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

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

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

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

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

Multiply -4 and -5 to get 20.

$$20x^{3}y^{3}z^{3}$$

Differentiate w.r.t. x

$$60x^{2}\left(yz\right)^{3}$$