Solve 15d^3/3b^2*11b^3/5d^4

$$\frac { 15 d ^ { 3 } } { 3 b ^ { 2 } } \cdot \frac { 11 b ^ { 3 } } { 5 d ^ { 4 } }$$

Evaluate

$$\frac{11b}{d}$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{5d^{3}}{b^{2}}\times \frac{11b^{3}}{5d^{4}}$$

Multiply \frac{5d^{3}}{b^{2}} times \frac{11b^{3}}{5d^{4}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5d^{3}\times 11b^{3}}{b^{2}\times 5d^{4}}$$

Cancel out 5b^{2}d^{3} in both numerator and denominator.

$$\frac{11b}{d}$$

Differentiate w.r.t. b

$$\frac{11}{d}$$