They spent three days’ vacation building terraces and landscaping the yard!
Explanation:
The sentence <em>"they spent three </em><em>days’</em><em> vacation building terraces and landscaping the yard!"</em> has a possessive plural noun. When there is a plural noun that ends with a final "s" the apostrophe must be placed after the "s" of the plural noun. It is not correct to say<em> "They spent three </em><em>day's</em><em> vacation" </em>because It is not a day or one day in its singular form. It's been three days.
Because of Odysseus's clever thinking, Polyphemus shouts out that "Noman" has been trying to kill him. This leaves Polyphemus blind. This allows Odysseus and his men to escape because of Odysseus's different thinking skills.