Mastering Exponents: Evaluating the Exponential Function e^u with Euler’s Number

e^u

The expression “e^u” represents the exponential function where e is Euler’s number (approximately 2

The expression “e^u” represents the exponential function where e is Euler’s number (approximately 2.71828) and u is the exponent.

To evaluate e^u, you simply raise Euler’s number, e, to the power of the given exponent, u. This can be done using a calculator or by using the exponential function on a scientific calculator.

For example, if u = 2, then e^u would be calculated as follows:
e^2 = 2.71828^2 ≈ 7.38906

Similarly, if u = -3, then e^u would be:
e^(-3) = 2.71828^(-3) ≈ 0.04979

Note that the value of e^u can be positive or negative depending on the exponent u. Additionally, if u is a fraction or a decimal, you can still use the exponential function to evaluate it.

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