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Salnax said:
I'm going to mutilate myself some math!

The Wii U uses 75 Watts of power. In contrast, the 3DS uses a 7 Watt charger, which charges the system slightly faster than the 3DS consumes it. So let's say the Wii U needs 12 3DS's worth of batteries to work for a similar length of time. 

The 3DS battery is 1300mAh at 3.7V = 4.68W, because there's some losses in the charger.