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find-the-three-last-digits-of-7-2020-




Question Number 86025 by Maclaurin Stickker last updated on 26/Mar/20
find the three last digits of  7^(2020) .
$${find}\:{the}\:{three}\:{last}\:{digits}\:{of}\:\:\mathrm{7}^{\mathrm{2020}} . \\ $$
Commented by MJS last updated on 26/Mar/20
you can do it yourself. find out, after how  many steps the digits repeat  007  049  343  401  ...
$$\mathrm{you}\:\mathrm{can}\:\mathrm{do}\:\mathrm{it}\:\mathrm{yourself}.\:\mathrm{find}\:\mathrm{out},\:\mathrm{after}\:\mathrm{how} \\ $$$$\mathrm{many}\:\mathrm{steps}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{repeat} \\ $$$$\mathrm{007} \\ $$$$\mathrm{049} \\ $$$$\mathrm{343} \\ $$$$\mathrm{401} \\ $$$$… \\ $$

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