The formula to calculate the value of \( e^{-x} \) is:
\[ e^{-x} = 2.71828^{-x} \]
Where:
The value of \( e^{-x} \) is calculated by raising Euler's number (approximately 2.71828) to the power of the negative value of \( x \). This is a common calculation in mathematics, particularly in fields such as calculus and differential equations.
Let's assume the following value:
Step 1: Calculate the value of \( e^{-x} \):
\[ e^{-2} = 2.71828^{-2} \approx 0.13534 \]
Therefore, the value of \( e^{-2} \) is approximately 0.13534.