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GMAT Diagnostic Test Question 6 [#permalink]
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06 Jun 2009, 21:39
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GMAT Diagnostic Test Question 6Field: fractions, powers Difficulty: 700 What is the value of \(\frac{\frac{1}{8} * (\frac{1}{16})^2* 4^4}{(\frac{1}{64})^{\frac{1}{2}} * 2^{4}\)? A. 16 B. 4 C. 2 D. \(\frac{1}{2}\) E. \(\frac{1}{16}\)
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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15 Jun 2009, 08:12
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Explanation:Official Answer: AWe just have to simplify the expression: \(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{\left(\frac{1}{64}\right)^{\frac{1}{2}} * 2^{4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16\)
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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16 Sep 2009, 22:50
Do you really think this is a 750 question? It seemed easier than some of the other 700650 questions. Just my 2 cents.



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Re: GMAT Diagnostic Test Question 6 [#permalink]
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21 Nov 2009, 02:22
robertrdzak wrote: Do you really think this is a 750 question? It seemed easier than some of the other 700650 questions. Just my 2 cents. I agree. A bit surprised by the level



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Re: GMAT Diagnostic Test Question 6 [#permalink]
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16 Dec 2009, 09:40
Agree that the question is pretty easy:)



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Re: GMAT Diagnostic Test Question 6 [#permalink]
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16 Dec 2009, 09:51
yep , I got it in 20 secs, is it 750 level ?
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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21 Dec 2009, 08:15
dzyubam wrote: Explanation:
Official Answer: AWe just have to simplify the expression: \(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{\left(\frac{1}{64}\right)^{\frac{1}{2}} * 2^{4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16\) can someone pls xplain how 2^{4}= 1/2^ 4?
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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21 Dec 2009, 08:32
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\(a^{b} = \frac{1}{a^b}\) It's just an exponent property. sunnyvee wrote: dzyubam wrote: Explanation:
Official Answer: AWe just have to simplify the expression: \(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{\left(\frac{1}{64}\right)^{\frac{1}{2}} * 2^{4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16\) can someone pls xplain how 2^{4}= 1/2^ 4?
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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21 Dec 2009, 08:51
thanx dzyubam, heres a kudo to make it worth ur while
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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11 Jan 2010, 22:48
dzyubam wrote: Explanation:
Official Answer: AWe just have to simplify the expression: \(\frac{\frac{1}{8} * (\frac{1}{16})^2 * 4^4}{\left(\frac{1}{64}\right)^{\frac{1}{2}} * 2^{4}} = \frac{\frac{1}{2^3} * \frac{1}{2^8} * 2^8}{\frac{1}{8} * \frac{1}{2^4}} = \frac{\frac{1}{2^3}}{\frac{1}{2^3} * \frac{1}{2^4}} = 2^4 = 16\) Please confirm. Correct answer is 2^4 because the two 1/2^3 cancel out and leave 1/1/2^4?
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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12 Jan 2010, 07:43
You're absolutely right . gottabwise wrote: Please confirm. Correct answer is 2^4 because the two 1/2^3 cancel out and leave 1/1/2^4?
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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12 Jan 2010, 11:35
dzyubam wrote: You're absolutely right . gottabwise wrote: Please confirm. Correct answer is 2^4 because the two 1/2^3 cancel out and leave 1/1/2^4? dzyubam: Thanks for confirming.
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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24 Jan 2010, 10:34
Thanks for the question and answer.
Got it wrong for the first try.



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Re: GMAT Diagnostic Test Question 6 [#permalink]
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02 Apr 2010, 06:11
I agree, this question shouldn't be of 750 difficulty level.
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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08 Apr 2010, 16:29
650700 level i must say
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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23 Apr 2010, 10:21
gmatbull wrote: I agree, this question shouldn't be of 750 difficulty level. Well for someone, it is difficult to solve it in once. I agree that it is of 650700 level.
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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20 May 2010, 11:21
600650 level! the question is straight forward and test basic knowledge. Just be careful when changing the fraction into negative exponent.



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Re: GMAT Diagnostic Test Question 6 [#permalink]
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04 Oct 2010, 03:26
This may seem like a stupid question but could someone please explain what happend to 1/2^8 * 2^8 in the nominator from the second to third step?
I tried to figure it out myself and looked up the math basics topic but haven't been successful.
Thanks!



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Re: GMAT Diagnostic Test Question 6 [#permalink]
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04 Oct 2010, 03:31
\(\frac{1}{2^8}\) and \(2^8\) just canceled out, just as \(\frac{1}{7}\) and \(7\) would. \(\frac{1}{2^8} * 2^8 = 1\) HanibalSmith wrote: This may seem like a stupid question but could someone please explain what happend to 1/2^8 * 2^8 in the nominator from the second to third step?
I tried to figure it out myself and looked up the math basics topic but haven't been successful.
Thanks!
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Joined: 31 Dec 1969
Location: Russian Federation
Concentration: Entrepreneurship, International Business
GMAT 3: 740 Q40 V50 GMAT 4: 700 Q48 V38 GMAT 5: 710 Q45 V41 GMAT 6: 680 Q47 V36 GMAT 9: 740 Q49 V42 GMAT 11: 500 Q47 V33 GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

Re: GMAT Diagnostic Test Question 6 [#permalink]
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04 Oct 2010, 05:25
Ahh... Of course.... Thanks!




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