In "On $\ell$-adic representations attached to modular forms II", Ribet proved that the $\ell$-adic representation $\rho_{f,\ell}$ attached to a non-CM newform form $f$ satisfies $${\rm SL}_2(\mathbb{F}_\ell)\subset \overline{\rho}_{f,\ell}(G_\mathbb{Q}).\qquad\qquad(*)$$ I am wondring : (i)- Why $(*)$ implies that $\overline{\rho}_{f,\ell|G_{\mathbb{Q}(\zeta_\ell)}}$ is absolutely irreducible? (ii)- Let $n$ be a positive integer. Dose $(*)$ imply that ${\rm SL}_2(\mathbb{F}_\ell)\subset {\rm Sym}^n\overline{\rho}_{f,\ell}$?