Easy question here but haven't been able to find the answer online. I am trying to create the following symbol in math mode: an `i`, with a bar over it, and then an asterisk as a superscript to the *entire* object. 

My initial attempt was the simple `$\bar{i}^*$`, however, the asterisk seems to fall *under* the bar. I need the asterisk to look as if it's the superscripts for *all* of `\bar{i}`. My other (unsuccessful) attempts have included using the empty group `{}` to create a gap between the `\bar{i}` and the superscript, using `\mbox{}` to delimit the `\bar{i}` as admitting a superscript, and simply playing around with placement. In all these cases, however, I still end up with an asterisk that looks to be below or at the same height as the bar, not above. Any suggestions?