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(0.02)^4/(0.002)^2 = ?

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(0.02)^4/(0.002)^2 = ? [#permalink]

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New post 05 Sep 2015, 00:30
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\(\frac{(0.02)^4}{(0.002)^2}\)=?

A. 0.01
B. 0.02
C. 0.04
D. 0.2
E. 0.4
[Reveal] Spoiler: OA

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Last edited by Bunuel on 05 Sep 2015, 02:30, edited 1 time in total.
RENAMED THE TOPIC.

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Re: (0.02)^4/(0.002)^2 = ? [#permalink]

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New post 05 Sep 2015, 02:37

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Re: (0.02)^4/(0.002)^2 = ? [#permalink]

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New post 05 Sep 2015, 02:56
reto wrote:
\(\frac{(0.02)^4}{(0.002)^2}\)=?

A. 0.01
B. 0.02
C. 0.04
D. 0.2
E. 0.4


Fraction=(2/100*2/100*2/100*2/100)/2/1000*2/1000
=4/100=0.04
Answer C

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Re: (0.02)^4/(0.002)^2 = ? [#permalink]

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New post 05 Sep 2015, 09:41
reto wrote:
\(\frac{(0.02)^4}{(0.002)^2}\)=?

A. 0.01
B. 0.02
C. 0.04
D. 0.2
E. 0.4



\(\frac{(0.02)^4}{(0.002)^2}\)

= \(\frac{2^4}{2^2}\) * \(\frac{(10^3)^2}{(10^2)^4}\)

= 4 * \(\frac{10^6}{10^8}\)

= 4*\(\frac{1}{10^2}\)

= 0.04

Answer:- C

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Re: (0.02)^4/(0.002)^2 = ? [#permalink]

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New post 16 Nov 2015, 06:47
rewrite (2^4 * 10^-2)^4

and (2*10^-3)^2


this can be rewriten as:

2^4/2^2 * 10^-8/10^-6

or 2^2 * 10^-2
rewrite as:
4*10^-2 = 0.04

C

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Re: (0.02)^4/(0.002)^2 = ? [#permalink]

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New post 24 Oct 2017, 05:49
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: (0.02)^4/(0.002)^2 = ?   [#permalink] 24 Oct 2017, 05:49
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