Real vs Average Power: Which is Correct?

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influx
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So I was reading through my course's lecture slides and it appears to contradict.

In one slide it states that the average power, P = VrmsIrmsCos(phi)

in another slide it states that the real power, P = VrmsIrmsCos(phi)

Which one is correct?
 
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Since the rms value is the average value, and they are used to calculate real power.. the equation is calculating average real power