Question

Simplify the expression. In(e-ºe) -72 O In(-1) O e-72 0 -1

Answer 1

`\ln (e^(-9)e^8)=-1`

Step-by-step explanation

Step 1

remember some properties of the potentiation

`\begin{gathered} a^m\cdot a^n=a^(m+n) \\ \end{gathered}`

then

`e^(-9)\cdot e^8=e^(-9+8)=e^(-1)`

Now we have

`\ln (e^(-9)e^8)=\ln (e^(-1))`

Step 2

using some properties of ln

`\begin{gathered} \ln (e^(-1))=-1\cdot\ln (e^{}) \\ and\text{ }\ln (e^{})=1,then \\ \ln (e^(-1))=-1\cdot1 \\ \ln (e^(-1))=-1 \\ \ln (e^(-9)e^8)=-1 \end{gathered}`

I hope this helps you