Solve j^5k^-6/j^-3k^6

$$\frac { j ^ { 5 } k ^ { - 6 } } { j ^ { - 3 } k ^ { 6 } }$$

Evaluate

$$\frac{j^{8}}{k^{12}}$$

Solution Steps

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

$$\frac{k^{-6}j^{8}}{k^{6}}$$

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

$$\frac{j^{8}}{k^{12}}$$

Differentiate w.r.t. j

$$\frac{8j^{7}}{k^{12}}$$