Solve a/b^2diva^2/b^3

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

Evaluate

$$\frac{b}{a}$$

Solution Steps

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

$$\frac{ab^{3}}{b^{2}a^{2}}$$

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

$$\frac{b}{a}$$

Differentiate w.r.t. a

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