Solve 8(1/z)^2=

$$8 ( \frac { 1 } { z } ) ^ { 2 } =$$

Evaluate

$$\frac{8}{z^{2}}$$

Solution Steps

To raise \frac{1}{z} to a power, raise both numerator and denominator to the power and then divide.

$$8\times \frac{1^{2}}{z^{2}}$$

Express 8\times \frac{1^{2}}{z^{2}} as a single fraction.

$$\frac{8\times 1^{2}}{z^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{8\times 1}{z^{2}}$$

Multiply 8 and 1 to get 8.

$$\frac{8}{z^{2}}$$

Differentiate w.r.t. z

$$-\frac{16}{z^{3}}$$