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

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

Evaluate

$$72n^{5}m^{8}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

$$6m^{8}n\times 3n^{4}\times 4$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$6m^{8}n^{5}\times 3\times 4$$

Multiply 6 and 3 to get 18.

$$18m^{8}n^{5}\times 4$$

Multiply 18 and 4 to get 72.

$$72m^{8}n^{5}$$

Differentiate w.r.t. n

$$360n^{4}m^{8}$$