Chữ số tận cùng của 19^99 và 99^99
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PT
3
14 tháng 2 2017
\(99^{99^{99}}\)
Ta có: 9999 có tận cùng là 9( số có tận cùng là 9 mà có số mũ lẻ thì tận cùng là 1 )
\(\Rightarrow\)9999 = .........9
\(\Rightarrow\)......999 = .......9 ( làm tương tự )
M
15 tháng 6 2015
\(99^{99^{99}}\)
Ta có: 9999 có tận cùng là 9 (số có tận cùng là 9 mà có số mũ lẻ thì tận cùng là 1)
=> 9999 = .....9.
=> ....999 = ....9 (tương tự trên)
18 tháng 7 2016
985908223984755305067455282156963912664988866405189017253248323566966773756564978195381386388869127010609301895335882062298443413147144705681498356775221400214988673291505835611105820564821888744346926227515214705519385663364559490255614464093591873952057162667035085261337087334423500751591932264248423604640670065938682510032991393973724640329243514370263242388924896060150928246521155529406644662022160054388598004410552519388713354527457349677625397420370380602740899488995546283602205915065025590304860925153371668016425978733822797114316102783678852962556941167627366689992269462220299397769222693844510649854903938298600446690372948159080216057821338911055995510139928799298176725790568650438807003402618646566563825339736407611727970619550020943914297613153929110681839154152194272508567453541001460645677742294177820743674317256989558915796943064020554135173215731616302599690800222205389206352293236945801928085474690497488682157201301117964033820742255684483724388464997432313764749776774691256585166435199265951920578076960765755160791995357962713903042018073004667943429670334339334975967844008232537781114226933484340478860038597943477762075347453207755252552127916803897454718856458112233600068904787098507002334246394665680869983064536583076563864228817794606758024399135312793326198620251975156771617160243744410249825801913801628273494834545207789227329295658504728887115466113320469348550717913382798056186616053589508171241765869143248250949870994395971772549680225572924924887506216823915136208766980864877618995676368301529462960962225501029470470444439013060650642986914505143066960894427949057256205795276139505340879984108462535457606217100335632769957908988944346963714075115750265070600691271778871537931531173806729175374890180370840495325381897530939912146386000960960929011556591046329821864591521145313643307713751184077270986761856705603246003513477646452862451828688004542450602618858287049061727404071997603053189874924675534506937230686132986035839586068001089947642072442101701211723994552219137745223432004526318190206663017527388144328718932888425635271095571526220477378469086358214815030471925375482766193995306787725164255546858670086614060143026684523899743445648560372761286495725996471820011018391066566342996620989763281426135780796988085101945590875206637709603040966331580366452699772421343966312437064048326153971764909084849503001322953325199553671676726705439107000974172711175465948777312154233454499336982122693788137783081694680070123167588061038710691315842091285596690838035439161115449885859621928246627374630568303281938879498277286410130856189363648880343149857807507092780164450223307376904937261208465378303811715475782248643009789499090194593951675105385026585741401210079192872484059423591794013079661841988597142371651792832561688526038968692847420455156860223897083659061173821358918359938206676179986461819723299022847473893583841488710829071525480564023723228532508226442767892527058355718804812143841255223619234766275053871776538482949988273609754191052273025574757377979242114468712345914427189259717098234360747357020088741745717863397237246084905646358400999412412220464153640290641358494238189808569035149314386056675887115594257662355151213418140971568533690407198571514764523879470910733192311427870561485696575596720574553362993047561518652160544256946659059263889164820564580752868420062937581945016182178855952162740010988608339886889090008973980948807119593000100930293900578540375862008454763456578538761896923113489416153004877193
vậy chữ số tận cùng là 3
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
24 tháng 2 2023
A = 6427 = (642)13.64 = (\(\overline{...6}\))13.64 = \(\overline{...6}\) .64 = \(\overline{...4}\)
B = 1920 = (192)10 = \(\overline{...1}\)10 = \(\overline{...1}\)
C = 11444 = (1142)22 = \(\overline{...6}\)11 = \(\overline{...6}\)
D = 9999 = ( 992)49.99 = \(\overline{...1}\)49.99 = \(\overline{...9}\)
E = 5345 = ( 534)11.53 = \(\overline{...6}\)11. 53 = \(\overline{...6}\).53 = \(\overline{..8}\)
G = 2345 = (2342)2.234 = \(\overline{..6}\)2 .234 = \(\overline{...6}\). 234 = \(\overline{...4}\)
H = (5796)35 = (5792)105 = \(\overline{...1}\)105 = \(\overline{....1}\)
8
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