  Let $f: (\mathbb{C}^n,0) \rightarrow (\mathbb{C},0)$ be a
semiquasihomogeneous function. We give a formula for the local {\L}ojasiewicz
exponent $\mathcal{L}_{0}(f)$ of $f$, in terms of weights of $f$. In
particular, in the case of a quasihomogeneous isolated singularity $f$, we
generalize a formula for $\mathcal{L}_{0}(f)$ of Krasi\'nski, Oleksik and
P{\l}oski ([KOP09]) from $3$ to $n$ dimensions. This was previously announced
in [TYZ10], but as a matter of fact it has not been proved correctly there, as
noticed by the AMS reviewer T. Krasi\'nski.
  As a consequence of our result, we get that the {\L}ojasiewicz exponent is
invariant in topologically trivial families of singularities coming from a
quasihomogeneous germ. This is an affirmative partial answer to Teissier's
conjecture.
  References
  [KOP09] Tadeusz Krasi\'nski, Grzegorz Oleksik and Arkadiusz P{\l}oski. The
{\L}ojasiewicz exponent of an isolated weighted homogeneous surface
singularity. Proc. Amer. Math. Soc., 137(10):3387-3397, 2009.
  [TYZ10] Shengli Tan, Stephen S.-T. Yau and Huaiqing Zuo. {\L}ojasiewicz
inequality for weighted homogeneous polynomial with isolated singularity. Proc.
Amer. Math. Soc., 138(11):3975-3984, 2010.
