Solve frac{8m^{3}n^{2}}{3ab^3}*a^2b/4m^2n^4=

$$\frac { 8 m ^ { 3 } n ^ { 2 } } { 3 a b ^ { 3 } } \cdot \frac { a ^ { 2 } b } { 4 m ^ { 2 } n ^ { 4 } } =$$

Evaluate

$$\frac{2am}{3\left(bn\right)^{2}}$$

Solution Steps

Multiply \frac{8m^{3}n^{2}}{3ab^{3}} times \frac{a^{2}b}{4m^{2}n^{4}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8m^{3}n^{2}a^{2}b}{3ab^{3}\times 4m^{2}n^{4}}$$

Cancel out 4abm^{2}n^{2} in both numerator and denominator.

$$\frac{2am}{3b^{2}n^{2}}$$

Differentiate w.r.t. a

$$\frac{2m}{3\left(bn\right)^{2}}$$