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Approximate the number using a calculator.

[tex]\[ e^{-0.90} \][/tex]

[tex]\[ e^{-0.90} \approx \square \][/tex] (Round to three decimal places.)

Sagot :

GinnyAnswer
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].
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