“Βέβαια” and “βεβαίως” have exactly the same meaning (certainly, of course). “Βεβαίως” has an older suffix (-ως) while “βέβαια” has a modern suffix (-α). Both forms of the word are correct and are used in modern Greek. However if someone speaks or writes more formally, he would probably use the form “βεβαίως”.
Ex:
-Θα έρθετε στο σπίτι; (Will you come to the house?)
-Βέβαια.
Ex:
-Θα έρθετε στο σπίτι;
-Βεβαίως.
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Vasiliki Baskou, Instructor/Director, https://learn-greek-online.com.
