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We have measured the reflectivity of the optimally dopedCa$_{8.5}$La$_{1.5}$(Pt$_3$As$_8$)(Fe$_{10}$As$_{10}$) single crystal ($T_c$ =32.8K) over the broad frequency range from 40 to 12000 $cm^{-1}$ and fortemperatures from 8 to 300 K. The optical conductivity spectra of the lowfrequency region ($< 1,000$ $cm^{-1}$) in the normal state (80 K $< T \leq$ 300K) is well fitted with two Drude forms, which indicates the presence ofmultiple bands at the Fermi level. Decreasing temperature below 80 K, this lowfrequency Drude spectra develops pseudogap (PG) hump structure at around$\approx 100$ $cm^{-1}$ and continuously evolves into the fully openedsuperconducting (SC) gap structure below $T_c$. Theoretical calculations of theoptical conductivity with the preformed Cooper pair model provide an excellentdescription of the temperature evolution of the PG structure above $T_c$ intothe SC gap structure below $T_c$. The extracted two SC gap sizes are $\Delta_S$= 4.9 $meV$ and $\Delta_L$ = 14.2 $meV$, suggestingCa$_{8.5}$La$_{1.5}$(Pt$_3$As$_8$)(Fe$_{10}$As$_{10}$) as a multiple gapsuperconductor with a mixed character of the weak coupling and strong couplingsuperconductivity.

Optical properties of the optimally doped Ca$_{8.5}$La$_{1.5}$(Pt$_3$As$_8$)(Fe$_{2}$As$_{2}$)$_5$ single crystal