Sulfuric acid and nitric acid are both strong acids. But when they react with each other, the nitric acid acts as a Bronsted-Lowry base because it accepts a hydrogen ion from sulfuric acid. The complete ionic equation is:
H₂SO₄(aq) + HNO₃(aq) → NO₂⁺(aq) + H₂O(l) + HSO₄⁻ (aq)
Since there is no precipitate, there is no reaction.