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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 regular 3DS's battery is 1300 mAh. So let's multiply that by 12 to get about 15,000 mAh.

Meanwhile, when I go onto Amazon, I can see rechargable batteries of about 5000 MAH for $30. Assuming that plastic is free, we can triple that and call it about $100 extra for 3DS-like battery life.

The problem is, the entire console would have to be redesigned in order to accommodate the huge-ass battery(ies) in it. So maybe the entire unit would have to cost more, making it less portable. Alternatively, Nintendo could use smaller but more expensive parts to keep the size down.

Either way, I can't see a portable Wii U costing less than $150 extra, and still having the bare minimum battery life for a portable system. That's $450 minimum. Not an attractive price for a handheld.