Solve a^-2n/an^-3

$$\frac { a ^ { - 2 } n } { a n ^ { - 3 } }$$

Evaluate

$$\frac{n^{4}}{a^{3}}$$

Solution Steps

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

$$\frac{a^{-2}n^{4}}{a}$$

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

$$\frac{n^{4}}{a^{3}}$$

Differentiate w.r.t. a

$$-3\times \left(\frac{n}{a}\right)^{4}$$