Hello Cindy, the word "recover" with no E at the end ;) As Cyaoeu said , it is an adverb here, and the ADVERB is used to describe the verb (recover in this example ) , How to recover ? to recover economically . Economy is a NOUN instead and can't describe a verb, rather a verb could be added to it ,as for example " The economy would recover in few years" .

"It will take a few years for the region to recover economically" is right. Are you asking a question "Why not use (the word) economy?" Economically is an adverb, describing how the region is recovering. From the adjective economic, then adding +ally. You could also say "It will take a few years for the region's economy to recover." But adverbs are very useful. I happily tried to answer your question. :P