$9 \cdot 6$ For $a>b>c>0, \quad m>n>0(m, n$ are integers), which of the following relations is correct?
(A) $a^{m} b^{n}>b^{m} c^{n}>c^{n} a^{m}$.
(B) $a^{m} b^{n}>c^{n} a^{m}>b^{n} c^{m}$.
(C) $a^{m} c^{n}>a^{m} b^{n}>b^{n} c^{m}$.
(D) $b^{n} c^{m}>c^{n} a^{m}>a^{m} b^{n}$.
(E) $a^{m} c^{n}>b^{n} c^{m}>a^{m} b^{n}$.
(China Beijing Junior High School Mathematics Competition, 1983)