From the Super Mario Wiki, the Mario encyclopedia
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POW-Down (also known as ATK-Down) is a status ailment that has appeared in various RPGs. It stands for "Power-Down".
Mario & Luigi series
Mario & Luigi: Superstar Saga / Mario & Luigi: Superstar Saga + Bowser's Minions
In Mario & Luigi: Superstar Saga and Mario & Luigi: Superstar Saga + Bowser's Minions, some enemies have the ability to change Mario and Luigi's stats, like Starkisses. If their attack power goes down, they will not be able to do as much damage with their attacks. The ailment is indicated by a red burst with an arrow pointing down. Luigi's Advanced Thunder Bros. Bros. Attack can give this status effect to enemies.
Mario & Luigi: Partners in Time
Mario & Luigi: Bowser's Inside Story / Mario & Luigi: Bowser's Inside Story + Bowser Jr.'s Journey
POW-Down returns again in Mario & Luigi: Bowser's Inside Story and its Nintendo 3DS remake, Mario & Luigi: Bowser's Inside Story + Bowser Jr.'s Journey. Red streaks flowing downward indicate the affected. The Mighty Meteor and the Shroob Boots can cause this on enemies.
Mario & Luigi: Dream Team
POW-Down returns in Mario & Luigi: Dream Team. By using a Virus-Starter Badge combo, Mario and Luigi can decrease the enemies' attack power. Some enemies and bosses, such as Mammoshka, can inflict this status on the Bros as well.
Mario & Luigi: Paper Jam
Paper Mario series
In Paper Mario, Mario can give enemies the Tiny ailment by using Shrink Stomp. Also, Mario can receive this ailment from Hammer Bros and Bzzaps!. Also, the Special Move Chill Out can inflict this status on enemies and bosses.
Paper Mario: The Thousand-Year Door
In Paper Mario: The Thousand-Year Door, Mario can once again inflict the Tiny status effect by using Shrink Stomp. There's an unused "Attack has dropped!" status in the game's coding under the name "battle_common", which is indicated by a nervous face if the latter was hacked while using a Thunder Rage in battle. Mini-Yoshi can also do this by using Mini-Egg, and the item Mini Mr. Mini can shrink enemies as well.