Solve 8a^3/4a*6b/7b^4

$$\frac { 8 a ^ { 3 } } { 4 a } \cdot \frac { 6 b } { 7 b ^ { 4 } }$$

Evaluate

$$\frac{12a^{2}}{7b^{3}}$$

Solution Steps

Cancel out 4a in both numerator and denominator.

$$2a^{2}\times \frac{6b}{7b^{4}}$$

Cancel out b in both numerator and denominator.

$$2a^{2}\times \frac{6}{7b^{3}}$$

Express 2\times \frac{6}{7b^{3}} as a single fraction.

$$\frac{2\times 6}{7b^{3}}a^{2}$$

Multiply 2 and 6 to get 12.

$$\frac{12}{7b^{3}}a^{2}$$

Express \frac{12}{7b^{3}}a^{2} as a single fraction.

$$\frac{12a^{2}}{7b^{3}}$$

Differentiate w.r.t. b

$$-\frac{36a^{2}}{7b^{4}}$$