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

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

Evaluate

$$12y^{2}x^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}x^{2}y^{1}\times 3^{1}x^{3}y^{1}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times 3^{1}x^{2}x^{3}y^{1}y^{1}$$

To multiply powers of the same base, add their exponents.

$$4^{1}\times 3^{1}x^{2+3}y^{1+1}$$

Add the exponents 2 and 3.

$$4^{1}\times 3^{1}x^{5}y^{1+1}$$

Add the exponents 1 and 1.

$$4^{1}\times 3^{1}x^{5}y^{2}$$

Multiply 4 times 3.

$$12x^{5}y^{2}$$

Differentiate w.r.t. x

$$60y^{2}x^{4}$$