#### Answer

3$x^{2}$ and 3$x^{-2}$ are not reciprocals.

#### Work Step by Step

3$x^{2}$ and 3$x^{-2}$ are not reciprocal because the reciprocal of 3$x^{2}$ is $\frac{1}{3x^{2}}$
However, when we change the exponent of 3$x^{-2}$ from negative to positive, it becomes $\frac{3}{x^{2}}$
Therefore, the the reciprocal of 3$x^{2}$ doesn't equal 3$x^{-2}$, as they yield different answers.