Solve 4xy^3*5x^2y^2

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

Evaluate

$$20x^{3}y^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 1 and 2.

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

Add the exponents 3 and 2.

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

Multiply 4 times 5.

$$20x^{3}y^{5}$$

Differentiate w.r.t. x

$$60x^{2}y^{5}$$