Solve (-8a^3b^-3/12a^2b^4)

$$( \frac { - 8 a ^ { 3 } b ^ { - 3 } } { 12 a ^ { 2 } b ^ { 4 } } )$$

Evaluate

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

Solution Steps

Cancel out 4a^{2} in both numerator and denominator.

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

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

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

Differentiate w.r.t. b

$$\frac{14a}{3b^{8}}$$