Solve frac{x^{3}y^{2}}{a^3b^2}divx^2y/a^2b

$$\frac { x ^ { 3 } y ^ { 2 } } { a ^ { 3 } b ^ { 2 } } \div \frac { x ^ { 2 } y } { a ^ { 2 } b }$$

Evaluate

$$\frac{xy}{ab}$$

Solution Steps

Divide \frac{x^{3}y^{2}}{a^{3}b^{2}} by \frac{x^{2}y}{a^{2}b} by multiplying \frac{x^{3}y^{2}}{a^{3}b^{2}} by the reciprocal of \frac{x^{2}y}{a^{2}b}.

$$\frac{x^{3}y^{2}a^{2}b}{a^{3}b^{2}x^{2}y}$$

Cancel out bya^{2}x^{2} in both numerator and denominator.

$$\frac{xy}{ab}$$

Differentiate w.r.t. x

$$\frac{y}{ab}$$