When an acid "reacts" with water, water acts as the base that accepts the proton (H+) from the acid. The remaining ion that is formed after the acid has donated its proton is called the conjugate base ([tex]X^-[/tex]), and the conjugate acid-base pair is [tex]HX[/tex] - [tex]X^-[/tex].
Hydrogen sulfate ([tex]HSO_{4}^-[/tex]) is an ion from sulfuric acid. It is still an acid in itself and can "react" with water (([tex]H_{2}O[/tex]) to form the sulfate ([tex]SO_{4}^2-[/tex]) and hydronium ([tex]H_{3}O^+[/tex])ions.
Based on the previous discussion, [tex]SO_{4(aq)}^2-[/tex] is identified to be the conjugate of the acid [tex]HSO_{4(aq)}^-[/tex]. Thus, the conjugate acid-base pair is [tex]HSO_{4(aq)}^{-} - SO_{4(aq)}^{2-}[/tex].