independently
US /ˌɪn.dɪˈpen.dənt.li/
UK /ˌɪn.dɪˈpen.dənt.li/

1.
independientemente
without being influenced or controlled by others in matters of opinion, conduct, etc.
:
•
She decided to live independently after college.
Ella decidió vivir independientemente después de la universidad.
•
The two teams worked independently on the same problem.
Los dos equipos trabajaron independientemente en el mismo problema.
2.
independientemente, separadamente
without connection with each other; separately
:
•
The results were obtained independently by two different labs.
Los resultados fueron obtenidos independientemente por dos laboratorios diferentes.
•
These two events occurred independently of each other.
Estos dos eventos ocurrieron independientemente el uno del otro.