Solve (4xy^2)*(6x^3y^4)

$$( 4 x y ^ { 2 } ) \times ( 6 x ^ { 3 } y ^ { 4 } )$$

Evaluate

$$24x^{4}y^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}x^{1}y^{2}\times 6^{1}x^{3}y^{4}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times 6^{1}x^{1}x^{3}y^{2}y^{4}$$

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

$$4^{1}\times 6^{1}x^{1+3}y^{2+4}$$

Add the exponents 1 and 3.

$$4^{1}\times 6^{1}x^{4}y^{2+4}$$

Add the exponents 2 and 4.

$$4^{1}\times 6^{1}x^{4}y^{6}$$

Multiply 4 times 6.

$$24x^{4}y^{6}$$

Differentiate w.r.t. x

$$96x^{3}y^{6}$$