Solve (6mn^2)*(10m^3n^4)/4mn^2

$$\frac { ( 6 m n ^ { 2 } ) \times ( 10 m ^ { 3 } n ^ { 4 } ) } { 4 m n ^ { 2 } }$$

Evaluate

$$15m^{3}n^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$\frac{6m^{4}n^{2}\times 10n^{4}}{4mn^{2}}$$

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{6m^{4}n^{6}\times 10}{4mn^{2}}$$

Cancel out 2\times 2mn^{2} in both numerator and denominator.

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

Multiply 3 and 5 to get 15.

$$15m^{3}n^{4}$$

Differentiate w.r.t. n

$$60\left(mn\right)^{3}$$