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GMAT Diagnostic Test Question 6 [#permalink]
 06 Jun 2009, 21:39
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GMAT Diagnostic Test Question 6Field: fractions, powers Difficulty: 750
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]
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]
16 Sep 2009, 22:50
Do you really think this is a 750 question? It seemed easier than some of the other 700-650 questions. Just my 2 cents.
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Re: GMAT Diagnostic Test Question 6 [#permalink]
21 Nov 2009, 02:22
robertrdzak wrote: Do you really think this is a 750 question? It seemed easier than some of the other 700-650 questions. Just my 2 cents. I agree. A bit surprised by the level
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Re: GMAT Diagnostic Test Question 6 [#permalink]
16 Dec 2009, 09:40
Agree that the question is pretty easy:)
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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]
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]
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]
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]
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]
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]
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]
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]
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]
08 Apr 2010, 16:29
650-700 level i must say
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Re: GMAT Diagnostic Test Question 6 [#permalink]
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 650-700 level.
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Re: GMAT Diagnostic Test Question 6 [#permalink]
20 May 2010, 11:21
600-650 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]
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]
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 = 1HanibalSmith 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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Re: GMAT Diagnostic Test Question 6 [#permalink]
04 Oct 2010, 05:25
Ahh... Of course.... Thanks!
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Re: GMAT Diagnostic Test Question 6
[#permalink]
04 Oct 2010, 05:25
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