360

Part of 1983 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 360 All Soviet Union MO 1983 n^m / m^n and k^n / n^k =>k^m / m^k

Source:

n,m,k

. It is known that

m^n

is divisible by

n^m

n^k

is divisible by

k^n

m^k

is divisible by

k^m

number theorydivisibleexponential