Extending Bay Lite socket

Might of been asked before, but I done and bought some wire to detach my socket and extend it for easier use, but the wire I bought has a lot more copper hairs in it and the bay lite has very little it's about the size of a pen point and the wire I bought is about the size of a pencil that hasn't been sharpened. Will it set my house on fire?

Also asked this in the electrician thread.