Solve 5mn*3m^2n=

$$5 m n \times 3 m ^ { 2 } n =$$

Evaluate

$$15n^{2}m^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$5^{1}m^{1}n^{1}\times 3^{1}m^{2}n^{1}$$

Use the Commutative Property of Multiplication.

$$5^{1}\times 3^{1}m^{1}m^{2}n^{1}n^{1}$$

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

$$5^{1}\times 3^{1}m^{1+2}n^{1+1}$$

Add the exponents 1 and 2.

$$5^{1}\times 3^{1}m^{3}n^{1+1}$$

Add the exponents 1 and 1.

$$5^{1}\times 3^{1}m^{3}n^{2}$$

Multiply 5 times 3.

$$15m^{3}n^{2}$$

Differentiate w.r.t. m

$$45\left(mn\right)^{2}$$