What powers does a wiccan actually have?

The power to reason and think for themselves.

The power to do good for themselves, their family & friends and the world in general.

The power to choose to be who and what they want to be.

The power to speak directly with their god (upper case or lower case, singular or plural) without the intercession of another person or "priest".

And the power to change the only person that really counts.... Themselves. This is not exclusive to Wiccans only... Pagans in general have these powers. As does everyone else in the world!