write the conjugate acid of this base.

PO4^3-

That would be HPO4^2-

To determine the conjugate acid of the base PO4^3-, we need to understand the concept of acid-base conjugate pairs.

The conjugate acid of a base is formed by adding a hydrogen ion (H+) to the base. In this case, the base PO4^3- already has a negative charge, so to make the conjugate acid we add an H+ to neutralize the negative charge.

The chemical equation would be:
PO4^3- + H+ -> HPO4^2-

Therefore, the conjugate acid of the base PO4^3- is HPO4^2-.