Which of the following is equal tofor all integers x and y?

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问题 Which of the following is equal to

for all integers x and y?

选项 A、4^-x
B、4^-y
C、2^xy
D、4^x
E、4^y

答案B

解析 Simplifying the fraction

. The only answer choice with 2 as the base is Choice C, 2^xy, which is clearly not the correct answer. Since all the other answer choices have 4 as the base, it is a good idea to rewrite 2^-2y as an expression with 4 as the base, as follows.

Thus the correct answer is Choice B.
This explanation uses the following strategies.
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship

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本试题收录于： GRE QUANTITATIVE题库GRE分类

GRE QUANTITATIVE

GRE

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Which of the following is equal tofor all integers x and y?

GRE QUANTITATIVE

GRE

Itisveryimportantforthestrongmantoknowthat______strongheis,hecannotbethestrongest.

BythetimeIfinishedhighschool,myinterestinanimalshadgrown,andenrolledatauniversitytostudybiology.Ilearneds

Allthefollowingcasesareon-the-jobsmokingexceptthat______.Manymanagersdonotseemtobeinfavorofon-the-jobsmokin

Collegeisanewandchallengingexperience,andnewandchallengingexperiencetendtoproducestress.Consequently,stressis

Inwhatnowseemsliketheprehistorictimesofcomputerhistory,theearlypostwarera,therewasaquitewidespreadconcernth

Therearemanyolderpeopleintheworldandtherewillbemanymore.Alittle-knownfactisthatover60percentoftheolderp

Insuranceisthesharingofrisks.Nearlyeveryoneisexposedtoriskofsomesort.Thehouse-owner,forexample,knowsthathi

SpeakerA:Hello,ShawiniganWater&PowerCompany,howmayIhelpyou?SpeakerB:______

Thenumberofcollegegraduatesgoingintobusiness-relatedfieldshas______increased.

Ifxisapositive,single-digitintegersuchthat4x/3,2x,x,andx+2,and3x-2formanon-orderedlistofconsecutiveintegers

简述劳动定额的管理应包括的基本环节。

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正态分布的数值变量资料，描述离散趋势的指标最好选用

图15—5—3所示梁在给定移动荷载作用下，B支座反力的最大值为()。[2009年真题]

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