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

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

Evaluate

$$24y^{5}x^{7}$$

Solution Steps

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

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

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

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

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

$$4x^{7}y\times 3y^{3}\times 2y$$

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

$$4x^{7}y^{4}\times 3\times 2y$$

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

$$4x^{7}y^{5}\times 3\times 2$$

Multiply 4 and 3 to get 12.

$$12x^{7}y^{5}\times 2$$

Multiply 12 and 2 to get 24.

$$24x^{7}y^{5}$$

Differentiate w.r.t. x

$$168y^{5}x^{6}$$