1. The question asks whether the mathematical constant $e$ should be written with a positive exponent. 2. The constant $e$ is approximately equal to 2.71828 and is the base of natural logarithms. 3. When writing expressions involving $e$, the exponent can be positive, negative, or zero depending on the context. 4. For example, $e^{x}$ is standard notation where $x$ can be any real number. 5. If $x$ is positive, then $e^{x}$ is $e$ raised to a positive exponent. 6. If $x$ is negative, then $e^{x} = \frac{1}{e^{-x}}$ which is $e$ raised to a negative exponent. 7. Therefore, it is perfectly valid and common to write $e$ with a positive exponent when the exponent itself is positive. 8. The sign of the exponent depends on the problem or expression, not on $e$ itself. Final answer: You should write $e$ with a positive exponent if the exponent is positive; otherwise, use the appropriate exponent sign as required by the expression.