There is no way to tell from this image.
Though IEXPLORE.EXE is the internet explorer file name, it seems strange to me that it is running under System and not a user name. If I open IE it is listed in Task Manager under 'my' user name (as the other occurrence of it is in your image), so there 'might' be something strange going on.
However, as IE is also an integral part of the OS I don't know if there might be a legit reason for it running under System. There are other processes also running legitimately under System such as ashServ.exe (avast Standard Shield).
I would do a search of your system for occurrences of iexplore.exe and report where they are found, usually it is in the C:\Program Files\Internet Explorer or C:\WINDOWS\ServicePackFiles\i386 folders. If it is in another location it could be suspect and you should upload it to
VirusTotal - Multi engine on-line virus scanner and report the findings.