To obtain the Takedown: Krodlaxes standard quest in Xenoblade Chronicles 3 Future Redeemed, interact with the request board in the Command Center of Colony 9. For this quest, you’ll need to defeat 4 Krodlaxes swimming around the lake to the northeast of Colony 9.
Once you take them all down, the quest will complete. As a reward, you’ll receive 900 EXP and 2270 Gold.