Solve 5a^2b/3*6/10a^3b^2

$$\frac { 5 a ^ { 2 } b } { 3 } \cdot \frac { 6 } { 10 a ^ { 3 } b ^ { 2 } }$$

Evaluate

$$\frac{1}{ab}$$

Solution Steps

Multiply \frac{5a^{2}b}{3} times \frac{6}{10a^{3}b^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5a^{2}b\times 6}{3\times 10a^{3}b^{2}}$$

Cancel out 2\times 3\times 5ba^{2} in both numerator and denominator.

$$\frac{1}{ab}$$

Differentiate w.r.t. b

$$-\frac{1}{ab^{2}}$$