Plant life exists only in the top 10 meters of a lake or sea, primarily because the intensity of sunlight decreases exponentially with depth. Specifically, the Bouguer-Lambert law says that a beam of light that strikes the surface of a body of water with intensity I₀ will have intensity I at a depth of x meters, where I = I₀e^−kx with k > 0. The constant k, called the absorption coefficient, depends on the wavelength of the light and the density of the water. Suppose a beam of sunlight is only 10% as intense at a depth of 3 meters as at the surface. How intense is the beam at a depth of 1 meter? (Express your answer in terms of I₀.)