Oracle Database Discussions

Can someone help me understand how to convert the following update statement to ANSI SQL?

I'm not sure how to do a join in an update statement with a table in a subquery.

update table1 a

set col1 = 'AAA'

where exists (   select 1

                         from table2 b

                         where b.col2 = a.col2 );

Thanks for your advice.

Steve