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

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

Evaluate

$$30\left(xy\right)^{4}$$

Solution Steps

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

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

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

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

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

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

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

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

Multiply 5 and -2 to get -10.

$$-10x^{4}y^{4}\left(-3\right)$$

Multiply -10 and -3 to get 30.

$$30x^{4}y^{4}$$

Differentiate w.r.t. x

$$120x^{3}y^{4}$$