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

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

Evaluate

$$10x^{4}y^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 1 and 3.

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

Add the exponents 3 and 2.

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

Multiply 5 times 2.

$$10x^{4}y^{5}$$

Differentiate w.r.t. x

$$40x^{3}y^{5}$$