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GMAT Diagnostic Test Question 6

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GMAT Diagnostic Test Question 6 [#permalink]

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New post 06 Jun 2009, 21:39
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GMAT Diagnostic Test Question 6
Field: 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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Last edited by Bunuel on 07 Oct 2013, 00:06, edited 3 times in total.
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Re: GMAT Diagnostic Test Question 6 [#permalink]

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New post 15 Jun 2009, 08:12
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Explanation:
Official Answer: A

We 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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Last edited by bb on 28 Sep 2013, 11:45, edited 1 time in total.
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Re: GMAT Diagnostic Test Question 6 [#permalink]

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New post 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]

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New post 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]

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New post 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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New post 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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New post 21 Dec 2009, 08:15
dzyubam wrote:
Explanation:
Rating:

Official Answer: A

We 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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\(a^{-b} = \frac{1}{a^b}\)

It's just an exponent property.
sunnyvee wrote:
dzyubam wrote:
Explanation:
Rating:

Official Answer: A

We 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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New post 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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New post 11 Jan 2010, 22:48
dzyubam wrote:
Explanation:
Rating:

Official Answer: A

We 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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New post 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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New post 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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New post 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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New post 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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New post 08 Apr 2010, 16:29
650-700 level i must say
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Re: GMAT Diagnostic Test Question 6 [#permalink]

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New post 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]

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New post 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]

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New post 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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New post 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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Re: GMAT Diagnostic Test Question 6 [#permalink]

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New post 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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