Solve 2xy^2*1/3xy

$$2 x y ^ { 2 } \cdot \frac { 1 } { 3 } x y$$

Evaluate

$$\frac{2x^{2}y^{3}}{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$2^{1}x^{1}y^{2}\times \left(\frac{1}{3}\right)^{1}x^{1}y^{1}$$

Use the Commutative Property of Multiplication.

$$2^{1}\times \left(\frac{1}{3}\right)^{1}x^{1}x^{1}y^{2}y^{1}$$

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

$$2^{1}\times \left(\frac{1}{3}\right)^{1}x^{1+1}y^{2+1}$$

Add the exponents 1 and 1.

$$2^{1}\times \left(\frac{1}{3}\right)^{1}x^{2}y^{2+1}$$

Add the exponents 2 and 1.

$$2^{1}\times \left(\frac{1}{3}\right)^{1}x^{2}y^{3}$$

Multiply 2 times \frac{1}{3}.

$$\frac{2}{3}x^{2}y^{3}$$

Differentiate w.r.t. x

$$\frac{4xy^{3}}{3}$$