Solve (-2xy)*(-3x^2y^4)*(-xy)

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

Evaluate

$$-6x^{4}y^{6}$$

Solution Steps

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

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

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

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

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

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

Multiply -2 and -3 to get 6.

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

Multiply 6 and -1 to get -6.

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

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

$$-6x^{4}y^{6}$$

Differentiate w.r.t. x

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