  Motivated by M-theory/superstring inspired models, we investigate certain
behaviors of the deflection angle and the shadow geometrical shapes of higher
dimensional quintessential black holes associated with two values of the dark
energy (DE) state parameter, being \omega=-\frac{1}{3} and \omega=-\frac{2}{3}.
Concretely, we derive the geodesic equation of photons on such backgrounds.
Thanks to the Gauss-Bonnet theorem corresponding to the optical metric, we
compute the leading terms of the deflection angle in the so-called weak-limit
approximation. After that, we inspect the effect of DE and the space-time
dimension d on the calculated optical quantities. Introducing DE via the field
intensity c and the state parameter \omega, we find that the shadow size and
the deflection angle increase by increasing values of the field intensity c.
However, we observe that the high dimensions decrease such quantities for
\omega-models exhibiting similar behaviors. Then, we consider the effect of the
black hole charge, on these optical quantities, by discussing the associated
behaviors. The present investigation recovers certain known results appearing
in ordinary four dimensional models.
