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20^5x5^10x8^2/10^5

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20^5x5^10x8^2/10^5  [#permalink]

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New post Updated on: 20 Sep 2018, 07:51
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A
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E

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  15% (low)

Question Stats:

85% (01:20) correct 15% (02:45) wrong based on 34 sessions

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

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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Originally posted by bettatantalo on 20 Sep 2018, 07:14.
Last edited by bettatantalo on 20 Sep 2018, 07:51, edited 1 time in total.
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Re: 20^5x5^10x8^2/10^5  [#permalink]

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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: 20^5x5^10x8^2/10^5  [#permalink]

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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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Re: 20^5x5^10x8^2/10^5  [#permalink]

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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: 20^5x5^10x8^2/10^5  [#permalink]

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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: 20^5x5^10x8^2/10^5  [#permalink]

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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: 20^5x5^10x8^2/10^5  [#permalink]

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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
Arjun
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Re: 20^5x5^10x8^2/10^5 &nbs [#permalink] 20 Sep 2018, 22:25
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