Observational constraints on cosmological solutions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>Q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> theories

Over the last years some interest has been gathered by $f(Q)$ theories, which are new candidates to replace Einstein's prescription for gravity. The nonmetricity tensor $Q$ allows put forward assumption of a free torsionless connection and, consequently, degrees freedom in action taken into account. This work focuses on class characterized presence general power-law term adds up standard (linear in) action, and cosmological scenarios arising from them. Using Markov chain Monte Carlo method, we carry out statistical tests relying upon background data such as Type Ia supernovae luminosities direct Hubble (from cosmic clocks), along with microwave shift baryon acoustic oscillations data. us perform multifaceted comparison between these cosmologies (concordance) $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ setup. We conclude that, at current precision level, best fits our models correspond values their specific parameters make them hardly distinguishable relativity ``\'echantillon,'' that is, $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$.