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

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

Evaluate

$$-60x^{6}y^{7}$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$3x^{6}y\left(-5\right)y^{2}\times 4y^{4}$$

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

$$3x^{6}y^{3}\left(-5\right)\times 4y^{4}$$

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$3x^{6}y^{7}\left(-5\right)\times 4$$

Multiply 3 and -5 to get -15.

$$-15x^{6}y^{7}\times 4$$

Multiply -15 and 4 to get -60.

$$-60x^{6}y^{7}$$

Differentiate w.r.t. x

$$-360x^{5}y^{7}$$