What is a "Power Throw," and who all gets one?

What is a "Power Throw," and who all gets one? - A Slogan They All Matter on Pink Surface

I remember while watching some Super Smash Bros Brawl Tournaments, the commentators were talking about how one of the players (Ness) went for a "Power Throw (his back throw)." But, what defines a "Power Throw" from a regular throw, and who all gets one?

This question applies to all SSB games that have "Power Throws."

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10 Transition Deadlift to Standing Power Throw

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: Anna Tarazevich, Brett Jordan, Brett Jordan, Brett Jordan