Solve x^2y^2dxdy

$$x ^ { 2 } y ^ { 2 } d x d y$$

Evaluate

$$d^{2}\left(xy\right)^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$x^{2}y^{2}d^{1}x^{1}y^{1}d^{1}$$

Use the Commutative Property of Multiplication.

$$x^{2}x^{1}y^{2}y^{1}d^{1}d^{1}$$

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

$$x^{2+1}y^{2+1}d^{1+1}$$

Add the exponents 2 and 1.

$$x^{3}y^{2+1}d^{1+1}$$

Add the exponents 2 and 1.

$$x^{3}y^{3}d^{1+1}$$

Add the exponents 1 and 1.

$$x^{3}y^{3}d^{2}$$

Differentiate w.r.t. x

$$3y^{3}\left(dx\right)^{2}$$