Solve b/a^2divb^2/a^3

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

Evaluate

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

Solution Steps

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

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

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

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

Differentiate w.r.t. b

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