1. The problem statement, all variables and given/known data Find a set of 3 exponents a, b, g such that the quantity [G]^a [h]^b [c]^g has dimensions of time. In other words: [T] = [G]^a [h]^b [c]^g (hint: you should get 3 algebraic equations in the 3 unknowns a, b, g which are not that hard to solve. Now determine the socalled Planck time from tPlanck = G^a h^b c^g. [3 Points]. 2. Relevant equations G = 6.67266 x 10^-11 m^3 kg^-1 s^-2 h = 6.62606896x10^-34 kg m^2 s^-1 c = 299,792,458 m s^-1 3. The attempt at a solution I solved a = 1/2, b = 1/2, g = -5/2, which cancel out the dimensions other than [T], and then I tried to calculate the value for Placnk time: (6.67266 x 10^-11)^(1/2) (6.62606896x10^-34)^(1/2) (299,792,458)^(-5/2) = 1.3512189 x10^-43 Which is not what it should be.. where did I make a mistake..?