Final answer:
The galaxy with a major axis of 80,000 light years and a minor axis of 40,000 light years is too large to be a dwarf elliptical and is likely to be classified as an intermediate or a giant elliptical galaxy.
Step-by-step explanation:
The elliptical galaxy in question, with a major axis of 80,000 light years and a minor axis of 40,000 light years, does not fit the typical size range for a dwarf elliptical galaxy, which is much smaller. Instead, given its large size, it would categorize as either an intermediate or a giant elliptical galaxy. Dwarf ellipticals, like M32, are much smaller, around 2400 light years across. Giant ellipticals can reach luminosities of up to 10ⁱ¹ Lsun and masses up to 10ⁱ¹ Msun, with diameters extending over several hundred thousand light years, larger than the largest spirals. Since the galaxy's major axis is 80,000 light years, it suggests that it is considerably larger than a dwarf elliptical but may not necessarily be as large as the rare giant ellipticals.