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• ### $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) # If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Director Joined: 25 Oct 2008 Posts: 511 Location: Kolkata,India If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 28 Sep 2009, 04:50 4 00:00 Difficulty: 35% (medium) Question Stats: 61% (00:54) correct 39% (00:52) wrong based on 201 sessions ### HideShow timer Statistics If x ≠ 0, what is the value of $$(x^w/x^y)^4$$? (1) w = y (2) x^2 = 1 Just wanted to get a clarification. Stmt 1 is suff. Stmt 2 i marked as insuff. cos x can have two values +1,-1..'cos in GMAT: root16= 4 but x^2=16 means x=+4,-4 right? So ans here should be A. _________________ http://gmatclub.com/forum/countdown-beginshas-ended-85483-40.html#p649902 Math Expert Joined: 02 Aug 2009 Posts: 7107 Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 28 Sep 2009, 05:07 hi tejal, u r right that x has 2 values +1 and -1.... but you have to take 4th power of whats in bracket .. so +1 or -1 will not make any diff... ans wud b always 1.... ans - D _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Senior Manager Joined: 31 Aug 2009 Posts: 379 Location: Sydney, Australia Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 28 Sep 2009, 05:49 tejal777 wrote: If x ≠ 0, what is the value of $$(x^w/x^y)^4$$? (1) w = y (2) x^2 = 1 Just wanted to get a clarification. Stmt 1 is suff. Stmt 2 i marked as insuff. cos x can have two values +1,-1..'cos in GMAT: root16= 4 but x^2=16 means x=+4,-4 right? So ans here should be A. 1) is suff as you already noted. 2) regardless of if they are -1 or +1 once it is ^4 it will be positive. so also suff. Hence D. What's OA? Manager Joined: 23 Sep 2009 Posts: 117 Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 28 Sep 2009, 08:06 Ans: d) As long as it is the powers of even number the answer is going to be 1. _________________ Thanks, VP Senior Manager Joined: 30 Nov 2008 Posts: 468 Schools: Fuqua Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 29 Sep 2009, 08:50 My take is D. Here is my explanation. The equation in question stem can be simplfied as X^(4*(w-y)). Clue 1: w = y ==> X ^ 0 = 1 We know the value of the expression in the question stem. Hence sufficient. Clue 2: x^2 = 1 ==> X = +/-1 ==> 1 ^ even number = 1. ==> 1 ^ 2*2*(w-y) = 1. Again we know the value of the expression in the question stem. Hence sufficient. Manager Status: Kitchener Joined: 03 Oct 2013 Posts: 89 Location: Canada Concentration: Finance, Finance GPA: 2.9 WE: Education (Education) Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 30 Jan 2015, 14:27 Dear Bunuel, I want to ask what will be the value of (a/b)^- m/n equal to? Does it will be equal to (b/a)^n/m? _________________ Click +1 Kudos if my post helped Math Expert Joined: 02 Sep 2009 Posts: 51218 Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 31 Jan 2015, 04:46 23a2012 wrote: Dear Bunuel, I want to ask what will be the value of (a/b)^- m/n equal to? Does it will be equal to (b/a)^n/m? $$(\frac{a}{b})^{-\frac{m}{n}}=\frac{1}{(\frac{a}{b})^{\frac{m}{n}}}=$$ $$=(\frac{1}{\frac{a}{b}})^{\frac{m}{n}}=(\frac{b}{a})^{\frac{m}{n}}$$. _________________ Math Expert Joined: 02 Sep 2009 Posts: 51218 Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 31 Jan 2015, 04:47 tejal777 wrote: If x ≠ 0, what is the value of $$(x^w/x^y)^4$$? (1) w = y (2) x^2 = 1 Just wanted to get a clarification. Stmt 1 is suff. Stmt 2 i marked as insuff. cos x can have two values +1,-1..'cos in GMAT: root16= 4 but x^2=16 means x=+4,-4 right? So ans here should be A. Similar questions to practice: if-x-0-what-is-the-value-of-x-p-x-q-166516.html if-x-is-not-to-0-what-is-the-value-of-x-m-x-n-147963.html if-x-0-what-is-the-value-of-sq-root-x-u-x-v-95674.html _________________ Math Expert Joined: 02 Aug 2009 Posts: 7107 If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 31 Jan 2015, 04:49 tejal777 wrote: If x ≠ 0, what is the value of $$(x^w/x^y)^4$$? (1) w = y (2) x^2 = 1 Just wanted to get a clarification. Stmt 1 is suff. Stmt 2 i marked as insuff. cos x can have two values +1,-1..'cos in GMAT: root16= 4 but x^2=16 means x=+4,-4 right? So ans here should be A. hi ... irrespective of the value of x as 1 or -1... the value will be 1 since the entire has the power of an even number,4.. _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13087 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y [#permalink] ### Show Tags 31 Jan 2015, 12:22 Hi All, This DS question can be solved with a mix of Number Property Rules and TESTing VALUES: We're told that X cannot = 0. We're asked for the value of [(X^W)/(X^Y)]^4 While this may look "scary", it's actually based on some basic math rules/patterns. Notice how the "base" of both the numerator AND the denominator are the SAME....that matters.... Fact 1: W = Y Let's TEST VALUES: IF... X = 1 W = 1 Y = 1 [(1^1)/(1^1)]^4 = (1/1)^4 = 1 IF.... X = 2 W = 3 Y = 3 [(2^3)/(2^3)]^4 = (8/8)^4 = (1/1)^4 = 1 From this work, you should notice that the fraction ALWAYS equals 1, so the answer will ALWAYS be 1^4 = 1. That will always occur regardless of what you TEST for the 3 variables (in Fact 1). Fact 1 is SUFFICIENT Fact 2: X^2 = 1 This tells us that X = 1 OR X = -1 Here's where some Number Property knowledge comes in handy. +1 raised to ANY power = 1, so (1^W) and (1^Y) BOTH always = 1......and 1/1 = 1.....so 1^4 = 1 -1 raised to an EVEN power = 1 -1 raised to an ODD power = -1 While this might appear to yield different answer, you must remember what the specific question asks for.... With these two restrictions on the numerator and denominator, we have 4 possible calculations (and 2 possible outcomes): (+1)/(-1) = -1 (-1)/(+1) = -1 (+1)/(+1) = 1 (-1)/(-1) = 1 (-1)^4 = 1 (+1)^4 = 1 So the answer is the SAME regardless. Fact 2 is SUFFICIENT. Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y  [#permalink]

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25 Sep 2018, 06:41
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Re: If x 0, what is the value of (x^w/x^y)^4 ? (1) w = y &nbs [#permalink] 25 Sep 2018, 06:41
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