Solve a^2*(1/a)^2-(a^2(-1/a)^2)

$$a ^ { 2 } \cdot ( \frac { 1 } { a } ) ^ { 2 } - ( a ^ { 2 } ( - \frac { 1 } { a } ) ^ { 2 } )$$

Evaluate

$$0$$

Solution Steps

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

$$a^{2}\times \frac{1^{2}}{a^{2}}-a^{2}\left(-\frac{1}{a}\right)^{2}$$

Cancel out a^{2} and a^{2}.

$$1^{2}-a^{2}\left(-\frac{1}{a}\right)^{2}$$

Calculate -\frac{1}{a} to the power of 2 and get \left(\frac{1}{a}\right)^{2}.

$$1^{2}-a^{2}\times \left(\frac{1}{a}\right)^{2}$$

Calculate 1 to the power of 2 and get 1.

$$1-a^{2}\times \left(\frac{1}{a}\right)^{2}$$

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

$$1-a^{2}\times \frac{1^{2}}{a^{2}}$$

Cancel out a^{2} and a^{2}.

$$1-1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$1-1$$

Subtract 1 from 1 to get 0.

$$0$$

Factor

$$0$$