Math problem:

Problem #2: In a certain model, the mass of micro black holes is measured in units called "solar masses". The mass decreases [2 marks] at a rate inversely proportional to the 6th power of the current mass. (In other words, proportional to the negative 6th power). (a) If the proportionality constant is 4, and the initial mass M0) = 5 solar masses, find an expression for the mass as a function of time, Mr). (b) At what time if any, does the black hole in (a) disappear (That is, when does the mass reach 0?) If it never does, type infinity. Round your answer to the nearest second