This is the 2817th most frequent Japanese word.
預け
"預け" means "deposit" or "entrust."
In this sentence, '預ける' is used to mean 'to entrust' or 'to check in' luggage, indicating leaving an item in the care of someone else.
私は空港で荷物を預けました。
I checked in my luggage at the airport.
Here, '預ける' is used to inquire about the possibility of entrusting or leaving the bag at the library.
この図書館にバッグを預けることができますか?
Can I leave my bag at this library?
In this example, '預ける' is used to express entrusting a child into the care of the daycare facility.