Accelerating Universe scenario in anisotropic $f\left(Q\right)$ cosmology

In this paper, we investigate the exact solution of an anisotropic space-time in the context of $f(Q)$ gravity, where $f\left(Q\right)$ is the arbitrary function of the non-metricity scalar $Q$. Here, we consider a specific power-law form as $f\left(Q\right)=\alpha Q^{n+1}+\beta$, where $\alpha$, $\beta$, and $n$ are free model parameters. Using power-law cosmology ($a\left(t\right)\propto t^m$), we analyze the physical behavior of cosmological parameters such as the energy density, pressure, EoS parameter, skewness parameter. Further, we validated the model with energy conditions and found that our $f\left(Q\right)$\ cosmological model behaves like the quintessence model in the present and $$CDM in the future.