Final answer:
The corrected sentence should read: "I.M. Pei has designed several well-known buildings, such as the Kennedy Library and the glass pyramid at the Louvre. The Chinese American architect's influence on twentieth-century construction has made him a worldwide icon."
Step-by-step explanation:
The sentence to be corrected is: "I.M. Pei has designed several well-known buildings', such as the Kennedy Library and the glass pyramid at the Louvre. The Chinese American architect's influence on twentieth-century construction has made him a worldwide icon."
The first error is the unnecessary apostrophe after "buildings" which incorrectly suggests a possessive form when it should be the plural form. The corrected portion of the sentence should read "...several well-known buildings." The second error is the incorrect plural form "architects'" which should be the singular possessive form "architect's" to show that the subsequent influence belongs to I.M. Pei.
Thus, the corrected sentence should be: "I.M. Pei has designed several well-known buildings, such as the Kennedy Library and the glass pyramid at the Louvre. The Chinese American architect's influence on twentieth-century construction has made him a worldwide icon."