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Sub 505 (Easy)|   Arithmetic|   Exponents|      
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bettatantalo
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20^5*5^10*8^2/10^5 Updated on: 11 Jan 2019, 10:10
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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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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5% (low)

Question Stats:

87% (01:28) correct 13% (02:09) wrong based on 209 sessions

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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
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laxpro2001
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20^5*5^10*8^2/10^5 20 Sep 2018, 07:30
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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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Abhishek009
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20^5*5^10*8^2/10^5 20 Sep 2018, 07:37
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bettatantalo
\(20^{5}*5^{10}*8^{2}/10^{5}\)

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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20^5*5^10*8^2/10^5 20 Sep 2018, 07:51
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laxpro2001
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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So sorry my bad, all those symbols when writing the question confused me :sad:
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bettatantalo
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20^5*5^10*8^2/10^5 20 Sep 2018, 07:54
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Abhishek009
bettatantalo
\(20^{5}*5^{10}*8^{2}/10^{5}\)

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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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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20^5*5^10*8^2/10^5 20 Sep 2018, 08:00
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bettatantalo

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

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

Now, add the top row -

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

bettatantalo
So sorry my bad, all those symbols when writing the question confused me :sad:
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No issues, dude we do understand that !!! :grin: Keep poring in ... :thumbup: :thumbup:
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20^5*5^10*8^2/10^5 20 Sep 2018, 22:25
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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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20^5*5^10*8^2/10^5 11 Jan 2019, 10:05
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bettatantalo
\(20^{5}*5^{10}*8^{2}/10^{5}\)

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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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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20^5*5^10*8^2/10^5 11 Jan 2019, 10:09
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stne
bettatantalo
\(20^{5}*5^{10}*8^{2}/10^{5}\)

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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Those two expression are mathematically identical. Still edited.
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KanishkM
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20^5*5^10*8^2/10^5 11 Jan 2019, 10:21
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bettatantalo
\(\frac{20^{5}*5^{10}*8^{2}}{10^{5}}\)
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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\(\frac{(2*2*5)^{5}*5^{10}*(2*2*2)^{2}}{(2*5)^{5}}\)

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

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

Answer A.
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20^5*5^10*8^2/10^5 11 Jan 2019, 11:32
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Bunuel
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bettatantalo
\(20^{5}*5^{10}*8^{2}/10^{5}\)

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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Thank you, in a hurry , did not realize that both the expressions would give same result.
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20^5*5^10*8^2/10^5 24 Jan 2026, 16:53
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