  In this article, we construct the diquark-diquark-antiquark type
interpolating currents, and study the masses and pole residues of the
$J^P={\frac{3}{2}}^-$ and ${\frac{5}{2}}^+$ hidden-charmed pentaquark states in
details with the QCD sum rules by calculating the contributions of the vacuum
condensates up to dimension-10 in the operator product expansion. In
calculations, we use the formula $\mu=\sqrt{M^2_{P_c}-(2{\mathbb{M}}_c)^2}$ to
determine the energy scales of the QCD spectral densities. The present
predictions favor assigning the $P_c(4380)$ and $P_c(4450)$ to be the
${\frac{3}{2}}^-$ and ${\frac{5}{2}}^+$ pentaquark states, respectively.
