Solve x^2y^32x(xy)=

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

Evaluate

$$2\left(xy\right)^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 3 and 1.

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

Add the exponents 1 and 1.

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

Multiply x^{2} times 2.

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

Differentiate w.r.t. x

$$8x^{3}y^{4}$$