Solve -4m^4*5n^6*3m*n

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

Evaluate

$$-60m^{5}n^{7}$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$-4m^{5}\times 5n^{7}\times 3$$

Multiply -4 and 5 to get -20.

$$-20m^{5}n^{7}\times 3$$

Multiply -20 and 3 to get -60.

$$-60m^{5}n^{7}$$

Differentiate w.r.t. m

$$-300m^{4}n^{7}$$