Final answer:
None of the provided options represents the number 12,578 in the Babylonian numeral system, and they appear to be incorrectly labeled as Babylonian numerals when they are closer to Roman numerals, which also do not match the value of 12,578.
Step-by-step explanation:
Express 12,578 as a Babylonian numeral. The options provided (b) XII_VII_DCCLXXVIII, (c) XIII_VIII_DCCLXXVIII, and (d) XIII_VII_DCCLXXVIII appear to be Roman numerals, not Babylonian.
However, none of these represent the number 12,578 in Roman numerals. In Roman numerals, the number 12,578 would be represented as 'X' for 10, followed by 'II' for 2, and then the thousands, hundreds, tens, and units are converted separately (with 'V' representing 5, 'L' representing 50, 'C' representing 100, 'D' representing 500, and 'M' for 1000). None of the options offered corresponds to Roman or Babylonian numeral systems.