Questions: Evaluate. ln(1/e^19)

To evaluate the expression \(\ln \frac{1}{e^{19}}\), we can use the properties of logarithms. Specifically, the property \(\ln \frac{1}{a} = -\ln a\) and the fact that \(\ln e^x = x\). Applying these properties will simplify the expression.

We start with the expression \( \ln \frac{1}{e^{19}} \). Using the property of logarithms, we can rewrite this as: \[ \ln \frac{1}{e^{19}} = -\ln e^{19} \]

Next, we apply the property \( \ln e^x = x \): \[ -\ln e^{19} = -19 \]

Thus, the value of \( \ln \frac{1}{e^{19}} \) is: \[ \boxed{-19} \]