Question

evaluate $e^{-1.92}$. round your answer to five decimal places. provide your answer below: $e^{(-1.92)}=square$

Explanation:

Step1: Use the property of exponents

We know that \(a^{-n}=\frac{1}{a^{n}}\), so \(e^{-1.92}=\frac{1}{e^{1.92}}\)

Step2: Calculate \(e^{1.92}\) using a calculator

Using a calculator, \(e^{1.92}\approx6.82994\)

Step3: Calculate \(\frac{1}{e^{1.92}}\)

\(\frac{1}{6.82994}\approx0.14641\)

Answer:

\(0.14641\)