To solve the expression 1 * e^0 + 2 * e^1, we first need to evaluate each part of this expression using the properties of the number ‘e’ (Euler’s number, approximately equal to 2.71828).
- Step 1: Evaluate
e^0: The exponent 0 means any number raised to the power of 0 equals 1. Therefore,e^0 = 1. - Step 2: Evaluate
e^1: This is simplye, which is approximately 2.71828.
Now substitute these values back into the original expression:
Expression:
1 * e^0 + 2 * e^1 = 1 * 1 + 2 * e
This simplifies to 1 + 2e
Substituting the approximate value of e gives:
Calculating 1 + 2e:
1 + 2 * 2.71828 ≈ 1 + 5.43656 = 6.43656
Thus, the final value of 1 * e^0 + 2 * e^1 is approximately 6.44 (rounded to two decimal places).