Question

Simplify the expression. e 2 In 4 16 e2 02 O 16

Answer 1

To simplify this expression we need to remember the following properties:

`(b^x^{})^y=b^(xy)^{}`

and

`e^(lnx)=x^{}`

Then, in our case

`e^(-2ln4)=(e^(ln4))^(-2)^{}`
`\begin{gathered} =(4)^(-2) \\ =(1)/(4^2) \\ =(1)/(16) \end{gathered}`

Therefore

`e^(-2ln4)=(1)/(16)^{}`