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Dealing with exponents that contain units?

Many of the equations I deal with involve powers of quantities which contain units. However, when the exponent contains units (e.g., E^Quantity[3, "Joules"]), Mathematica will not evaluate it "fully." For example,

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This stays unevaluated. On some level, it makes sense, but I'd like to be able to get a numerical value to this without having to remove the units beforehand. Is there any way to do this?

I would also totally be okay with a solution that allows it to evaluate without taking into account the units (i.e., by ignoring them). I'm just trying to avoid removing the units manually from each quantity.


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