Final answer:
Homer calls the gods' laughter unalloyed because it is indicative of their carefree and undisturbed existence, which contrasts the mortal experience.
Step-by-step explanation:
Homer refers to the gods' laughter as unalloyed, because it is carefree and undisturbed by suffering. This description highlights the distinct separation between the experiences of the gods and those of mortals. In literature, especially in epics like Homer's The Iliad and The Odyssey, the gods often embody characteristics that are beyond mortal reach, conveying a sense of otherworldliness and perfection. For example, their laughter being unalloyed signifies an existence free from the trials and tribulations that typically afflict humans, presenting an idealized state of being that contrasts sharply with the human condition.