$$ \Large \text{E}+\text{E}=\text{E}\\ \text{O}+\text{O}=\text{O}\\ \text{E}+\text{O}=\text{Neither} $$
$$ \Large \begin{aligned} \text{E} \cdot \text{E} &= \text{E}\qquad &\text{E} \cdot \text{O} = \text{O} \\ \text{O} \cdot \text{O} &= \text{O} \quad &\text{O} \cdot \text{E} = \text{O} \end{aligned} $$
$$ \Large \begin{aligned} \frac{\text{E}}{\text{E}} &= \text{E}\qquad &\frac{\text{E}}{\text{O}} = \text{O} \\[1em] \frac{\text{O}}{\text{O}} &= \text{E} \quad &\frac{\text{O}}{\text{E}} = \text{O} \end{aligned} $$
$$ \Large \begin{aligned} \frac{1}{\text{E}} &= \text{E}\qquad& \frac{1}{\text{O}} = \text{O} \end{aligned} $$
$$ \Large \begin{aligned} \text{E}^n&=\text{E}\\ \text{O}^{2n}&=\text{E}\\ \text{O}^{2n+1}&=\text{O} \end{aligned} $$
$$ \Large \begin{aligned} e^{\text{E}}&=\text{\text{E}}\\ \sqrt{\text{E}}&=\text{E} \end{aligned} $$