To solve the problem of approximating [tex]\( e^{-0.90} \)[/tex], we need to follow these steps:
1. Understand the Expression:
- We are asked to find the value of [tex]\( e \)[/tex] raised to the power of [tex]\(-0.90\)[/tex].
2. Use a Calculator:
- Use an exponential function available on scientific calculators or specifically designed online tools to compute [tex]\( e \)[/tex] raised to a specified power.
3. Perform the Calculation:
- Enter the base [tex]\( e \)[/tex] (which is approximately 2.718281828459045) and the exponent [tex]\(-0.90\)[/tex] into the calculator.
- The calculator will give you a value, which is the result of [tex]\( e^{-0.90} \)[/tex].
4. Round the Result:
- After obtaining the value, round it to three decimal places for the final answer.
Upon completing these steps, you will find:
[tex]\[
e^{-0.90} \approx 0.407
\][/tex]
So, the approximate value of [tex]\( e^{-0.90} \)[/tex] rounded to three decimal places is [tex]\( 0.407 \)[/tex].
