Solve 2/5a*6/7a^2

$$\frac { 2 } { 5 a } \cdot \frac { 6 } { 7 a ^ { 2 } }$$

Evaluate

$$\frac{12}{35a^{3}}$$

Solution Steps

Multiply \frac{2}{5a} times \frac{6}{7a^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 6}{5a\times 7a^{2}}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{2\times 6}{5a^{3}\times 7}$$

Multiply 2 and 6 to get 12.

$$\frac{12}{5a^{3}\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{12}{35a^{3}}$$

Differentiate w.r.t. a

$$-\frac{36}{35a^{4}}$$