Step 1 :The question is asking for the value of \(e^{-1.6}\), rounded to five decimal places. The constant \(e\) is a mathematical constant approximately equal to 2.71828, and it is the base of the natural logarithm. In this case, we need to calculate the value of \(e\) raised to the power of \(-1.6\).
Step 2 :The value of \(e^{-1.6}\) is approximately 0.2019.
Step 3 :Final Answer: The value of \(e^{-1.6}\), rounded to five decimal places, is \(\boxed{0.20190}\).