Wouldn't that create a strange result tough. If the power was a daily, it could be recharged by an extended rest in a long term skill challenge, but yet the encounter power cannot because it is still the same encounter ?
I believe that's right.
The first relevant daily power that I looked at (Skilled Companion, Ranger Utility 6) lasts until the end of the encounter. I'm not sure if this would allow a ranger to pile on bonuses to multiple skills over several days, or if "checks with a single skill of your choice" should be construed to mean that if the same ranger applies Skilled Companion to another skill, the bonus from the first use ends. edit: Nothing would prevent two rangers each using Skilled Companion to boost a different skill, in a skill challenge or otherwise.
Many daily powers are Stances (which go away after 5 minutes) or have a similar explicit time limit. Others, such as Astral Speech (Paladin Utility 2) wouldn't give any extra benefit if a character kept using them once a day.
What other daily powers are relevant to skill challenges? There are probably few enough to look at each individually.
I guess this is one case where the united structure of 4e powers fails because of the vast difference between a narrative encounter like a skill challenge is just too different from a combat encounter ...
I see it the other way: it's very elegant and has some great benefits to apply the same encounter power rules to a long-term skill challenge as to combat. In the particular corner cases of daily powers that enhance skills, some specific rulings might be required.
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