  We prove that sufficiently many copies of a bipartite entangled pure state
can always be transformed into some copies of another one with certainty by
local quantum operations and classical communication. The efficiency of such a
transformation is characterized by deterministic entanglement exchange rate,
and it is proved to be always positive and bounded from top by the infimum of
the ratios of Renyi's entropies of source state and target state. A careful
analysis shows that the deterministic entanglement exchange rate cannot be
increased even in the presence of catalysts. As an application, we show that
there can be two incomparable states with deterministic entanglement exchange
rate strictly exceeding 1.
