Use the -ExpandProperty
flag of Select-Object
$var=Get-WSManInstance -enumerate wmicimv2/win32_process | select -expand Priority
Update to answer the other question:
Note that you can as well just access the property:
$var=(Get-WSManInstance -enumerate wmicimv2/win32_process).Priority
So to get multiple of these into variables:
$var=Get-WSManInstance -enumerate wmicimv2/win32_process
$prio = $var.Priority
$pid = $var.ProcessID