I wonder..

What does this sentence mean?  

'One thing's got nothin' to do with the other'

It means that those two things are completely different and they are not related to each other

What does this mean?

'One thing's got nothin' to do with the other'

It's important to know that "got nothin" is slang or incorrect English. Although you may hear someone say this, it sounds more intellegent for someone to say:

'One thing "has nothing" to do with the other.'

I wonder..

What "does this sentence

mean?"

'One thing's got nothin' to do with the other'

they basically mean that there is no relevence, or comparaison when you are trying to point out the similarities

What you really mean to say is "One thing has nothing to do with the"or if you would like to make it sound urban/slang, alot of American teens use this, but it's not proper english , I do it as well

When using slang/urban you would say "that ain't got nothing to do with that" or "that

got nothing to do with that one" this is the slang or urban version

mostly used for when you speaking to someone . This is NOT Proper english, it's and informal way of speaking to a friend or someone in realation to you