  With the hypothesis of minimal flavor violation, we find that there exists a
power-aligned relation between the Yukawa couplings of the two scalar doublets
in the two-Higgs-doublet model with Hermitian Yukawa matrices. Within such a
power-aligned framework, it is found that a simultaneous explanation of the
anomalies observed in the electron and muon anomalous magnetic moments can be
reached with TeV-scale quasi-degenerate Higgs masses, and the resulting
parameter space is also phenomenologically safer under the B-physics, $Z$ and
$\tau$ decay data, as well as the current LHC bounds. Furthermore, the
flavor-universal power that enhances the charged-lepton Yukawa couplings
prompts an interesting correlation between the two anomalies, which makes the
model distinguishable from the (generalized) linearly aligned and the
lepton-specific two-Higgs-doublet models that address the same anomalies but in
a non-correlative manner, and hence testable by future precise measurements.
