What is the greatest positive integer x such that 2x is a factor of 1210?

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问题 What is the greatest positive integer x such that 2^x is a factor of 12¹⁰?

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答案 To reach an answer, you first must find the smallest factors of 12, as follows: 12¹⁰=(3×2×2) ¹⁰ Remember that the exponent applies to every value within the parentheses; thus, (3×2×2) ¹⁰=3¹⁰×2¹⁰×2¹⁰. When multiplying powers with the same base, you add the exponents: 3¹⁰×2^(10+10) =(3¹⁰)(2²⁰); 2²⁰is a factor of 12¹⁰.

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What is the greatest positive integer x such that 2x is a factor of 1210?

GRE QUANTITATIVE

GRE

Fromthenon,asoundsystemofPartyCommitteemeetingswas______inallleadingbodies.

SpeakerA:Hello,Iwanttobuysomeclothesformygirlfriendforherbirthdaypresent.SpeakerB:Noproblem,sir.【D8】______S

Itcanbereallyfrustrating(使人沮丧的)foranoverweightpersontogotoagymandworkoutwithapositiveattitude.Allonehasto

Anothersignificantproblemistheneedfortheyoungergenerationstounderstandandvaluetheolderpeopleintheirsociety.

Allthefollowingcasesareon-the-jobsmokingexceptthat______.Inthesecondpartofthepassage,theauthorsuggestsbannin

Regretisascommonanemotionasloveorfear,anditcanbenearlyaspowerful.So,inanewpaper,tworesearcherssetabout

Howdoyouknowifyourhomeisaneasyaimforthefts?Aroundtheholidays,manyfamiliesdon’tconsidertakingpropermeasures

Whatisthesmallestintegerkforwhich64k＞414?

Theprimaryfunctionofthepassageasawholeisto______Whichofthefollowingiscitedinthepassageasagoalofsomepro

Iftheaverage(arithmeticmean)ofx,y,z,5and7is8,whichofthefollowingmustbetrue?I.Themedianofthefivenum

患者，男，35岁。左肾和右侧输尿管下段结石各1枚，直径分别为1．3cm和1．5cm。IVP提示双肾积水。该患者的正确处理为

某药按一级反应速度降解，反应速度常数为k25℃=4．0×10-6(h-1)，请计算该药的有效期。

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