Solve 3a/4b*16b^2/9a^2

$$\frac { 3 a } { 4 b } \times \frac { 16 b ^ { 2 } } { 9 a ^ { 2 } }$$

Evaluate

$$\frac{4b}{3a}$$

Solution Steps

Multiply \frac{3a}{4b} times \frac{16b^{2}}{9a^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3a\times 16b^{2}}{4b\times 9a^{2}}$$

Cancel out 3\times 4ab in both numerator and denominator.

$$\frac{4b}{3a}$$

Differentiate w.r.t. a

$$-\frac{4b}{3a^{2}}$$