Solve 2x^2y*3xy^2

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

Evaluate

$$6\left(xy\right)^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 2 and 1.

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

Add the exponents 1 and 2.

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

Multiply 2 times 3.

$$6x^{3}y^{3}$$

Differentiate w.r.t. x

$$18x^{2}y^{3}$$