Solve (4xy)*(5xy)=

$$( 4 x y ) \cdot ( 5 x y ) =$$

Evaluate

$$20\left(xy\right)^{2}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 1 and 1.

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

Add the exponents 1 and 1.

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

Multiply 4 times 5.

$$20x^{2}y^{2}$$

Differentiate w.r.t. x

$$40xy^{2}$$