Question

If a^3b=ab^3c=180 and a, b, and c are positive integers, the value of c is

Answer 1

abc = a(b^3) = 180
on solving abc = a(b^3) we get c = b^2
and for a(b^3) = 180 , there is only one possibility a = 180 and b = 1 so c = 1^2 = 1