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The powerometer is a device Princess Bubblegum used in the episode "The Tower" to measure the power of Finn's telekinetic arm. Apparently it can send out waves across Ooo to measure the power of any kind of energetic force. (This could include electricity, gravity, or perhaps the power of an opposing kingdom, though it is not clear.)
It is a white sphere with two white handles, a gray button, an energy gauge and can also show holograms.