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

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

Evaluate

$$12x^{4}y^{8}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 1 and 3.

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

Add the exponents 3 and 5.

$$4^{1}\times 3^{1}x^{4}y^{8}$$

Multiply 4 times 3.

$$12x^{4}y^{8}$$

Differentiate w.r.t. x

$$48x^{3}y^{8}$$