Solve 1/4a^2b6ab^3

$$\frac { 1 } { 4 a ^ { 2 } b } 6 a b ^ { 3 }$$

Evaluate

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

Solution Steps

Express \frac{1}{4a^{2}b}\times 6 as a single fraction.

$$\frac{6}{4a^{2}b}ab^{3}$$

Express \frac{6}{4a^{2}b}a as a single fraction.

$$\frac{6a}{4a^{2}b}b^{3}$$

Cancel out 2a in both numerator and denominator.

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

Express \frac{3}{2ab}b^{3} as a single fraction.

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

Cancel out b in both numerator and denominator.

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

Differentiate w.r.t. b

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