Solve 4a^5/7b^4*2b^2/2a^4

$$\frac { 4 a ^ { 5 } } { 7 b ^ { 4 } } \cdot \frac { 2 b ^ { 2 } } { 2 a ^ { 4 } }$$

Evaluate

$$\frac{4a}{7b^{2}}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{4a^{5}}{7b^{4}}\times \frac{b^{2}}{a^{4}}$$

Multiply \frac{4a^{5}}{7b^{4}} times \frac{b^{2}}{a^{4}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4a^{5}b^{2}}{7b^{4}a^{4}}$$

Cancel out b^{2}a^{4} in both numerator and denominator.

$$\frac{4a}{7b^{2}}$$

Differentiate w.r.t. a

$$\frac{4}{7b^{2}}$$