Congress has the power to pass any law to enforce this amendment. What words tell you that. look at amendment 24

24th amendment "The right of citizens of the United States to vote in any primary or other election for President or Vice President for electors for President or Vice President, or for Senator or Representative in Congress, shall not be denied or abridged by the United States or any State by reason of failure to pay any poll tax or other tax. The Congress shall have power to enforce this article by appropriate legislation."

look at the bold