You can run another application from your application by using:
Process.Start("Notepad.exe")
If your original program is running Elevated (As Admin), then Notepad will run As Admin (there will be no UAC prompt)
If your original program is not running Elevated and you want to start an application elevated (As Admin) you will have to do something like this (this will prompt for elevation):
Dim procStartInfo As New ProcessStartInfo
Dim procExecuting As New Process
With procStartInfo
.UseShellExecute = True
.FileName = "Notepad.exe"
.WindowStyle = ProcessWindowStyle.Normal
.Verb = "runas" 'add this to prompt for elevation
End With
procExecuting = Process.Start(procStartInfo)
Note that there is no way to circumvent the UAC prompt. If UAC is enabled then the user will have to agree to the elevation at some point.