Answer:
Easier, about the same distance away, differences in apparent brightness are directly related to differences in intrinsic brightness of these stars
Explanation:
When Henrietta Leavitt discovered the period-luminosity relationship, she used Cepheid variable stars that were all located in the Large Magellanic Cloud (LMC). It was easier to compare Cepheids in the LMC rather than those located in the Milky Way Galaxy because they are all about the same distance away. As a result differences in apparent brightness are directly related to differences in intrinsic brightness of these stars.