Solve x^2y^3x^3yxy^2

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

Evaluate

$$\left(xy\right)^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 3 and 2.

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

Add the exponents 3 and 1.

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

Multiply x^{2} times y.

$$yx^{2}y^{5}x^{4}$$

Differentiate w.r.t. x

$$6x^{5}y^{6}$$