The correct spelling of the word is "apprentice". It is a noun that means a person who is learning a trade or skill from an experienced worker. The word comes from the Latin word "apprenticius", which means "one who is taken on to learn a trade".
The other options are incorrect because they do not follow the standard spelling of the word. The word "apprentice" is spelled with an "e" after the "p" and before the "n". The word "aprentice" is missing the "e". The word "aperentice" is missing the "p". The word "apperentice" is missing the "e" and the "p".
I hope this helps!