Solve 5b^4/4a^3*12a^5/30b^6

$$\frac { 5 b ^ { 4 } } { 4 a ^ { 3 } } \times \frac { 12 a ^ { 5 } } { 30 b ^ { 6 } }$$

Evaluate

$$\frac{\left(\frac{a}{b}\right)^{2}}{2}$$

Solution Steps

Cancel out 6 in both numerator and denominator.

$$\frac{5b^{4}}{4a^{3}}\times \frac{2a^{5}}{5b^{6}}$$

Multiply \frac{5b^{4}}{4a^{3}} times \frac{2a^{5}}{5b^{6}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5b^{4}\times 2a^{5}}{4a^{3}\times 5b^{6}}$$

Cancel out 2\times 5a^{3}b^{4} in both numerator and denominator.

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

Differentiate w.r.t. a

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