  Quantum entanglement plays essential roles in quantum information processing.
The monogamy and polygamy relations characterize the entanglement distributions
in the multipartite systems. We present a class of monogamy inequalities
related to the $\mu$th power of the entanglement measure based on
R\'{e}nyi-$\alpha$ entropy, as well as polygamy relations in terms of the
$\mu$th powered of R\'{e}nyi-$\alpha$ entanglement of assistance. These
monogamy and polygamy relations are shown to be tighter than the existing ones.
