Solve m^{7}m^3n^2n^7m^8=

$$m ^ { 7 } m ^ { 3 } n ^ { 2 } n ^ { 7 } m ^ { 8 } =$$

Evaluate

$$n^{9}m^{18}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 7 and 3 to get 10.

$$m^{10}n^{2}n^{7}m^{8}$$

To multiply powers of the same base, add their exponents. Add 10 and 8 to get 18.

$$m^{18}n^{2}n^{7}$$

To multiply powers of the same base, add their exponents. Add 2 and 7 to get 9.

$$m^{18}n^{9}$$

Differentiate w.r.t. n

$$9n^{8}m^{18}$$