Solve (2m^2n)*3mn^3

$$( 2 m ^ { 2 } n ) \times 3 m n ^ { 3 }$$

Evaluate

$$6m^{3}n^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$2^{1}m^{2}n^{1}\times 3^{1}m^{1}n^{3}$$

Use the Commutative Property of Multiplication.

$$2^{1}\times 3^{1}m^{2}m^{1}n^{1}n^{3}$$

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

$$2^{1}\times 3^{1}m^{2+1}n^{1+3}$$

Add the exponents 2 and 1.

$$2^{1}\times 3^{1}m^{3}n^{1+3}$$

Add the exponents 1 and 3.

$$2^{1}\times 3^{1}m^{3}n^{4}$$

Multiply 2 times 3.

$$6m^{3}n^{4}$$

Differentiate w.r.t. m

$$18m^{2}n^{4}$$