Exclusive beats usually come with something called track outs, stems, or tracks. Whenever you hear someone referencing these, it just means that the artist will receive each individual instrument used in the instrumental in a separate wav. File. This makes it possible for the audio engineer to mix the song with vocals properly to ensure the best quality.
Now when you buy the beat exclusively, it is yours. This means that you can use it wherever you want without have to renew any leasing agreement. Purchasing an exclusive beat is the ideal option if you want to use it for a song on your album.
Keep in mind that purchasing the beat exclusively will be a lot more expensive, but the producer cannot sell the beat to any other artists. After purchasing the beat, the producer will give you a higher quality audio file with this beat on it, far exceeding the sound quality you would get had you just leased the beat.