When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity 1, of the incident beam. What is the intensity of the beam 14 feet below the surface? (Give your answer in terms of Ig. Round any constants or coefficients to five decimal places.)