Solve 3x^2y*4xy^3

$$3 x ^ { 2 } y \times 4 x y ^ { 3 }$$

Evaluate

$$12x^{3}y^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$3^{1}x^{2}y^{1}\times 4^{1}x^{1}y^{3}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times 4^{1}x^{2}x^{1}y^{1}y^{3}$$

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

$$3^{1}\times 4^{1}x^{2+1}y^{1+3}$$

Add the exponents 2 and 1.

$$3^{1}\times 4^{1}x^{3}y^{1+3}$$

Add the exponents 1 and 3.

$$3^{1}\times 4^{1}x^{3}y^{4}$$

Multiply 3 times 4.

$$12x^{3}y^{4}$$

Differentiate w.r.t. x

$$36x^{2}y^{4}$$