Final answer:
The Fifteenth Amendment guarantees the right to vote regardless of race, while the Thirteenth Amendment outlawed slavery. Both amendments were ratified in the late 19th century and were fundamental in civil rights progression.
Step-by-step explanation:
The question refers to two important amendments in the U.S. Constitution. The amendment that guaranteed the right to vote regardless of race is the Fifteenth Amendment. It was ratified in 1870 and prohibits the federal and state governments from denying a citizen the right to vote based on that citizen's race, color, or previous condition of servitude.
The amendment that outlawed slavery is the Thirteenth Amendment. It was ratified in 1865 and abolished slavery and involuntary servitude, except as punishment for a crime.
Learn more about U.S. Amendments