Solve (5m^3n^4)(6m^4n^2)

$$( 5 m ^ { 3 } n ^ { 4 } ) ( 6 m ^ { 4 } n ^ { 2 } )$$

Evaluate

$$30n^{6}m^{7}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$5^{1}m^{3}n^{4}\times 6^{1}m^{4}n^{2}$$

Use the Commutative Property of Multiplication.

$$5^{1}\times 6^{1}m^{3}m^{4}n^{4}n^{2}$$

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

$$5^{1}\times 6^{1}m^{3+4}n^{4+2}$$

Add the exponents 3 and 4.

$$5^{1}\times 6^{1}m^{7}n^{4+2}$$

Add the exponents 4 and 2.

$$5^{1}\times 6^{1}m^{7}n^{6}$$

Multiply 5 times 6.

$$30m^{7}n^{6}$$

Differentiate w.r.t. m

$$210\left(mn\right)^{6}$$