\input zb-basic \input zb-ioport \iteman{io-port 06055003} \itemau{Herendi, Tam\'{a}s} \itemti{A note on speeding up exponentiation by precomputation.} \itemso{Publ. Math. 79, No. 3-4, 469-478 (2011).} \itemab Summary: We analyse the lower bounds for the number of exponentiation necessary to compute the powers of a fixed member of an Abelian group and give a method for a reasonably fast powering by storing some previously computed powers. \itemrv{~} \itemcc{} \itemut{exponentiation; addition chains; precomputation} \itemli{doi:10.5486/PMD.2011.5164} \end