Solve 3m^8n/4n^2*6mn^2/7mn

$$\frac { 3 m ^ { 8 } n } { 4 n ^ { 2 } } \times \frac { 6 m n ^ { 2 } } { 7 m n }$$

Evaluate

$$\frac{9m^{8}}{14}$$

Solution Steps

Cancel out n in both numerator and denominator.

$$\frac{3m^{8}}{4n}\times \frac{6mn^{2}}{7mn}$$

Cancel out mn in both numerator and denominator.

$$\frac{3m^{8}}{4n}\times \frac{6n}{7}$$

Multiply \frac{3m^{8}}{4n} times \frac{6n}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3m^{8}\times 6n}{4n\times 7}$$

Cancel out 2n in both numerator and denominator.

$$\frac{3\times 3m^{8}}{2\times 7}$$

Multiply 3 and 3 to get 9.

$$\frac{9m^{8}}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$\frac{9m^{8}}{14}$$

Differentiate w.r.t. m

$$\frac{36m^{7}}{7}$$