Solve -2x^23x^3y*-4xy^2

$$-2 { x }^{ 2 } 3 { x }^{ 3 } y \times -4x { y }^{ 2 }$$

Evaluate

$$24y^{3}x^{6}$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

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

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

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

Multiply -2 and 3 to get -6.

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

Multiply -6 and -4 to get 24.

$$24x^{6}y^{3}$$

Differentiate w.r.t. x

$$144y^{3}x^{5}$$