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20^5*5^10*8^2/10^5

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bettatantalo
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20^5*5^10*8^2/10^5 [#permalink] New post   Updated on: 11 Jan 2019, 10:10
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\(\frac{20^{5}*5^{10}*8^{2}}{10^{5}}\)


A. \(2^{11}\)\(5^{10}\)

B. \(2^{60}5^{50}\)

C. \(2^{16}5^{15}\)

D. \(2^{16}3^{10}10^{8}\)

E. \(2^{8}5^{20}10^{5}\)


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A

Originally posted by bettatantalo on 20 Sep 2018, 07:14.
Last edited by Bunuel on 11 Jan 2019, 10:10, edited 2 times in total.
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laxpro2001
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   20 Sep 2018, 07:30
This is wrong. The answer should be :
2^11 * 5 ^ 10

Love how the first question I tried after deciding to try again for an MBA has an error in it...
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   20 Sep 2018, 07:37
bettatantalo wrote:
\(20^{5}*5^{10}*8^{2}/10^{5}\)

a) \(2^{11}\)
b) \(2^{60}5^{50}\)
c) \(2^{16}5^{15}\)
d) \(2^{16}3^{10}10^{8}\)
e) \(2^{8}5^{20}10^{5}\)


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\(\frac{20^{5}*5^{10}*8^{2}}{10^{5}}\)

= \(\frac{2^{16}*5^{15}}{2^{5}*5^5}\)

= \(2^{11}*5^{10}\)

None of the Answer matches, please check the OA and options, IMHO U missed \(5^{10}\) in option (A)
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bettatantalo
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   20 Sep 2018, 07:51
laxpro2001 wrote:
This is wrong. The answer should be :
2^11 * 5 ^ 10

Love how the first question I tried after deciding to try again for an MBA has an error in it...


So sorry my bad, all those symbols when writing the question confused me :sad:
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   20 Sep 2018, 07:54
Abhishek009 wrote:
bettatantalo wrote:
\(20^{5}*5^{10}*8^{2}/10^{5}\)

a) \(2^{11}\)
b) \(2^{60}5^{50}\)
c) \(2^{16}5^{15}\)
d) \(2^{16}3^{10}10^{8}\)
e) \(2^{8}5^{20}10^{5}\)


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\(\frac{20^{5}*5^{10}*8^{2}}{10^{5}}\)

= \(\frac{2^{16}*5^{15}}{2^{5}*5^5}\)

= \(2^{11}*5^{10}\)

None of the Answer matches, please check the OA and options, IMHO U missed \(5^{10}\) in option (A)


Hi! I don't quite get what you did to get to this \(\frac{2^{16}*5^{15}}{2^{5}*5^5}\)

Thank you :)
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   20 Sep 2018, 08:00
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bettatantalo wrote:
Hi! I don't quite get what you did to get to this \(\frac{2^{16}*5^{15}}{2^{5}*5^5}\)

Thank you :)


\(20^5 = (2^2*5)^5 = 2^{10}*5^5\)

\(8^2 = (2^3)^2 = 2^6\)

Now, add the top row -

\(20^5*5^{10}*8^2 = 2^{10}*5^5*5^{10}*2^6 = 2^{16}*5^{15}\)

bettatantalo wrote:
So sorry my bad, all those symbols when writing the question confused me :sad:


No issues, dude we do understand that !!! :grin: Keep poring in ... :thumbup: :thumbup:
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   20 Sep 2018, 22:25
20^5 x 5^10 x 8^2/10^5

=>2^5 x 5^10 x 8^2
(((8^2 = 2^3x2=2^6)))

=>2^5 x 2^6 x 5^10
(((Apply the property x^m.x^n = x^m+n)))

=>2^11 x 5^10

Hence the answer is A

Thank you
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   11 Jan 2019, 10:05
bettatantalo wrote:
\(20^{5}*5^{10}*8^{2}/10^{5}\)

a) \(2^{11}\)\(5^{10}\)
b) \(2^{60}5^{50}\)
c) \(2^{16}5^{15}\)
d) \(2^{16}3^{10}10^{8}\)
e) \(2^{8}5^{20}10^{5}\)


Source gmat tutor


Dear Moderator,
Can we format this question properly, initially was confused if the question was :
\(20^{5}*5^{10}* \frac{8^{2}}{10^{5}}\) or \(\frac{ 20^{5}*5^{10}*8^{2}}{10^{5}}\)
Thank you.
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   11 Jan 2019, 10:09
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stne wrote:
bettatantalo wrote:
\(20^{5}*5^{10}*8^{2}/10^{5}\)

a) \(2^{11}\)\(5^{10}\)
b) \(2^{60}5^{50}\)
c) \(2^{16}5^{15}\)
d) \(2^{16}3^{10}10^{8}\)
e) \(2^{8}5^{20}10^{5}\)


Source gmat tutor


Dear Moderator,
Can we format this question properly, initially was confused if the question was :
\(20^{5}*5^{10}* \frac{8^{2}}{10^{5}}\) or \(\frac{ 20^{5}*5^{10}*8^{2}}{10^{5}}\)
Thank you.


Those two expression are mathematically identical. Still edited.
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   11 Jan 2019, 10:21
bettatantalo wrote:
\(\frac{20^{5}*5^{10}*8^{2}}{10^{5}}\)
A. \(2^{11}\)\(5^{10}\)

B. \(2^{60}5^{50}\)

C. \(2^{16}5^{15}\)

D. \(2^{16}3^{10}10^{8}\)

E. \(2^{8}5^{20}10^{5}\)


\(\frac{(2*2*5)^{5}*5^{10}*(2*2*2)^{2}}{(2*5)^{5}}\)

\(\frac{2^{10}* 5^{15}* 2^{6}}{(2)^{5}* (5)^{5}}\)

\(2^{11}\)\(5^{10}\)

Answer A.
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Re: 20^5*5^10*8^2/10^5 [#permalink] New post   11 Jan 2019, 11:32
Bunuel wrote:
stne wrote:
bettatantalo wrote:
\(20^{5}*5^{10}*8^{2}/10^{5}\)

a) \(2^{11}\)\(5^{10}\)
b) \(2^{60}5^{50}\)
c) \(2^{16}5^{15}\)
d) \(2^{16}3^{10}10^{8}\)
e) \(2^{8}5^{20}10^{5}\)


Source gmat tutor


Dear Moderator,
Can we format this question properly, initially was confused if the question was :
\(20^{5}*5^{10}* \frac{8^{2}}{10^{5}}\) or \(\frac{ 20^{5}*5^{10}*8^{2}}{10^{5}}\)
Thank you.


Those two expression are mathematically identical. Still edited.


Thank you, in a hurry , did not realize that both the expressions would give same result.
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Re: 20^5*5^10*8^2/10^5 [#permalink]
11 Jan 2019, 11:32
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Bunuel
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