Hey there!
So, when looking at this (time line). We need to find the time when
Sparta defeated Athen's in the peloponnesian War".
WE NEED TO REMEMBER, BCE, AT THIS TIME, THE YEARS WERE BACKWARD.
So, your correct answer would be "War between Persia and Greece Begin's".
This is the year that happened right before the "Peloponnesian War".
Your correct answer would be . . . .
[tex]\boxed{\boxed{War \ between \ Persia \ and \ Greece \ Begin's}}[/tex]
Hope this helps.
~Jurgen