To solve the expression 1 e^0 + 2 e^1, we need to evaluate each component individually.
First, let’s consider e^0. According to the rules of exponents, any number raised to the power of 0 equals 1. Therefore, e^0 = 1.
Next, we evaluate e^1. The value of e (Euler’s number) is approximately equal to 2.71828. Thus, e^1 = e ≈ 2.71828.
Now we can plug these values back into the expression:
1 e^0 + 2 e^1 = 1 * 1 + 2 * e.
Calculating this, we have:
1 + 2 * e ≈ 1 + 2 * 2.71828
This equals:
1 + 5.43656 ≈ 6.43656
Therefore, the final value of the expression 1 e^0 + 2 e^1 is approximately 6.43656.