Solve (2a/5b^2)*(15b/a^2)

$$( \frac { 2 a } { 5 b ^ { 2 } } ) \cdot ( \frac { 15 b } { a ^ { 2 } } )$$

Evaluate

$$\frac{6}{ab}$$

Solution Steps

Multiply \frac{2a}{5b^{2}} times \frac{15b}{a^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2a\times 15b}{5b^{2}a^{2}}$$

Cancel out 5ab in both numerator and denominator.

$$\frac{2\times 3}{ab}$$

Multiply 2 and 3 to get 6.

$$\frac{6}{ab}$$

Differentiate w.r.t. a

$$-\frac{6}{ba^{2}}$$