Solve 5x^2y/3ab^2*9a^2b/10xy^2

$$\frac { 5 x ^ { 2 } y } { 3 a b ^ { 2 } } \times \frac { 9 a ^ { 2 } b } { 10 x y ^ { 2 } }$$

Evaluate

$$\frac{3ax}{2by}$$

Solution Steps

Multiply \frac{5x^{2}y}{3ab^{2}} times \frac{9a^{2}b}{10xy^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5x^{2}y\times 9a^{2}b}{3ab^{2}\times 10xy^{2}}$$

Cancel out 3\times 5abxy in both numerator and denominator.

$$\frac{3ax}{2by}$$

Differentiate w.r.t. x

$$\frac{3a}{2by}$$