ἐξουσιάζοντες [1 verse]( part pl pres act masc nom ) "Exercise authority " is  exousiazō, which means to "exercise authority", "have power", "exercise authority over" and "enjoy license". 

ἐξυπνίσω [1 verse](1st sg aor subj act) "I may wake" is from exypnizo, which means "awaken from sleep." In the passive, it means "wake up." Its root means "sleep" from a root word the means "under" and the  prefix means "out of."

Γαλιλαίαν, [3 verses] (noun sg fem acc) "Galilee" is from Galilaia, which is the Greek form of the word. -- "Galilee" is from the Greek spelling of the Judean place name.

γαμῶν  [12 verses](part sg pres act masc nom) is from gameo, which mean "to marry" and "to take a wife." For a woman, it means "to give yourself in marriage." It can also mean to "take a lover. -- The word translated as "I have married" means, for a man, "to take a wife" and for a woman, to "give yourself in marriage."  

γαμίζονται, [6 verses](verb 3rd pl pres ind mp) "Given in marriage" is gamizo, which mean "to give a daughter in marriage."  - The verb translated as "given in marriage" is used nowhere else in Greek besides the NT. It is from the same root as the above "marry," the Greek noun that means "wedding."