ORA-12541: TNS:no listener using EXPDP
You're not supplying a correct connection string. If you're using ezconnect, you need to pass the connection string in the format: //host:port/service-name

The expdp command-line should be:

expdp user/pass@//host:port/service-name full=Y VERSION=10.2 directory=m_dump dumpfile=DB10G.dmp logfile=expdpDB10G.log


So, something like:

expdp user/pass@//192.168.10.8:1521:DB10G full=Y VERSION=10.2 directory=m_dump dumpfile=DB10G.dmp logfile=expdpDB10G.log


If your local machine is not configured to use ezconnect, you need to specify the TNS name for the database, like so:

expdp user/pass@DB10G full=Y VERSION=10.2 directory=m_dump dumpfile=DB10G.dmp logfile=expdpDB10G.log


... and ensure there's a relevant TNS entry in your tnsnames.ora file.