1. **State the problem:** Calculate the value of the expression $2e^0 (1-0)$. 2. **Recall the formula and rules:** - The expression involves the exponential function $e^x$, where $e$ is Euler's number approximately equal to 2.718. - Any number raised to the power 0 is 1, so $e^0 = 1$. - The expression also involves multiplication and subtraction inside the parentheses. 3. **Evaluate the exponent:** $$e^0 = 1$$ 4. **Evaluate the parentheses:** $$1 - 0 = 1$$ 5. **Multiply all parts:** $$2 \times 1 \times 1 = 2$$ 6. **Final answer:** The value of $2e^0 (1-0)$ is $2$.