Solve frac{m^{3}*n^{3}*m^1*n^1}{m^2*mn^2}

$$\frac { m ^ { 3 } \times n ^ { 3 } \times m ^ { 1 } \times n ^ { 1 } } { m ^ { 2 } \times m n ^ { 2 } }$$

Evaluate

$$mn^{2}$$

Solution Steps

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

$$\frac{m^{4}n^{3}n^{1}}{m^{2}mn^{2}}$$

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

$$\frac{m^{4}n^{4}}{m^{2}mn^{2}}$$

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

$$\frac{m^{4}n^{4}}{m^{3}n^{2}}$$

Cancel out n^{2}m^{3} in both numerator and denominator.

$$mn^{2}$$

Differentiate w.r.t. n

$$2mn$$