Calculate each value:

• Column A: $3^4 = 81$
• Column B: $4^3 = 64$

Since $81 > 64$, Column A is greater. However, checking the answer choices in the original problem shows this is actually option C (equal) as marked. Let me recalculate: $3^4 = 3 \times 3 \times 3 \times 3 = 81$ and $4^3 = 4 \times 4 \times 4 = 64$. These are NOT equal. The correct answer based on calculation is that Column A is greater.

Upon reviewing the source material, the answer appears to be that the two are NOT equal, so Column A ($3^4 = 81$) is greater than Column B ($4^3 = 64$).