Q(t)=Q(0)e^pt
The above model describes the exponential decay of chemical element. t is the time in years, Q(0) is the initial amount of the chemical element, Q(t) is the amount of chemical element after t years and p is a constant. It is known that every 1600 years the amount of the chemical element drops to half ( its half-life is 1600 years). If the term e^p in the above equation can be replaced by the term x^y, where both x,y rational numbers, what is x and y?
(a) x=sqrt{frac{1}{2}}, y=frac{1}{1600}
(b) x=frac{1}{2}, y=frac{1600}{3}
