If you are running with binary logs enabled this can be checked with relatively high reliability.
First, to see whether binary logs are indeed enabled, run:
SHOW BINARY LOGS;
If they're enabled, you should get an output like this:
+------------------+-----------+
| Log_name | File_size |
+------------------+-----------+
| mysql-bin.000244 | 15462544 |
| mysql-bin.000245 | 102622775 |
+------------------+-----------+
Otherwise you would get an error message.
Now, if binary logs are enabled, then any successful commit is also written to binary logs. I say "commit", but the truth is any successful operation, even on non transactional tables such as MyISAM, is written there. But, to be honest, to have any certainty about the outcome of your queries, I do hope for your sake you're using a transactional engine such as InnoDB, or else you cannot be sure of anything.
OK, so asssuming now that you have binary logs turned on, and that your tables are transactional (hopefully InnoDB), then a successful completion of your queries is expected to be written to the binary logs.
You must now hunt down the relevant binary log and look for the query there. If you find the query - good! If not - it's most probably not there. I'll explain shortly.
Which binary log contains your query? Look at the binary log files themselves, typically in your data directory. Look for their timestamps. When the power came up, a new binary log was created. Find it. Your queries are most probably in the binary log one before that one. This is a guess. It could also be one before that, etc. But it's a good guess.
Now, using the mysqlbinlog utility, execute, from command line, something like this:
mysqlbinlog mysql-bin.000245
Replace file name with the one you suspect to contain the query.
This will output all queries in this binary log file into standard output. On Unix, use grep to find your query:
mysqlbinlog mysql-bin.000245 | grep "something which identifies the query"
On Windows, good luck. Open with notepad++ or something and search manually.
Is the query there? Great - you know it has been committed.
Is the query not there? Need to check on sync_binlog param. Is it 1? Then query not in binary log ==> query not committed.
But if sync_binlog is not 1, there could still be a chance that the query has been committed yet not in the binary log, as the crash may have happened just after the commit and just before the binary log was flushed to disk. You then need to revert to other means.
Those being: (and hopefully, again, you're using InnoDB): look for a single row that can identify outcome of the query. With InnoDB you get "all or nothing". If you can be certain of a single row affected by the query - you can be sure that the query has completed.
edit: of course, if slow log is enabled, you can expect such long query to be logged there after completion as well...
Good luck!
