A tetrahedron A B C D satisfies A B=6, C D=8, and B C=D A=5. Let V be the maximum volume of A B C D possible. If we can write V^{4}=2^{n} 3^{m} for some integers n and m, find m n.
A tetrahedron A B C D satisfies A B=6, C D=8, and B C=D A=5. Let V be the maximum volume of A B C D possible. If we can write V^{4}=2^{n} 3^{m} for some integers n and m, find m n.