## Algebra 1: Common Core (15th Edition)

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