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(2^5*5^6)/10000=?

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Bunuel
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(2^5*5^6)/10000=? [#permalink] New post   18 May 2021, 09:00
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A
B
C
D
E

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5% (low)

Question Stats:

89% (00:43) correct 11% (00:34) wrong based on 47 sessions
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\(\frac{(2^5*5^6)}{10000}=?\)

A. 0.2
B. 5
C. 25/2
D. 25
E. 50
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E
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Re: (2^5*5^6)/10000=? [#permalink] New post   18 May 2021, 09:06
(2^5 * 5^6)/ 10000
= (32*25*25*25)/10000
= (32*25*25)/400
= (32*25)/ 16
= 2 * 25
= 50

Answer E
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(2^5*5^6)/10000=? [#permalink] New post   18 May 2021, 09:25
Bunuel wrote:
\(\frac{(2^5*5^6)}{10000}=?\)

A. 0.2
B. 5
C. 25/2
D. 25
E. 50


\(\frac{(2^5*5^6)}{10000}\)

\(\frac{(2^5*5^6)}{100* 100}\)

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

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

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

\(\frac{(2^5*5^6)}{2^{4}* 5^{4}}\)

\( 2 * 5^{2} = 2 * 25 = 50\) (E)
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EraAAAAAAAAAAAA
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(2^5*5^6)/10000=? [#permalink] New post   Updated on: 19 May 2021, 06:53
(2^4)×2×(5^4)×(5^2) / (2^4)×(5^4)
= 2×(5^2)
= 50

Originally posted by EraAAAAAAAAAAAA on 18 May 2021, 09:50.
Last edited by EraAAAAAAAAAAAA on 19 May 2021, 06:53, edited 1 time in total.
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(2^5*5^6)/10000=? [#permalink] New post   18 May 2021, 10:00
Bunuel wrote:
\(\frac{(2^5*5^6)}{10000}=?\)

A. 0.2
B. 5
C. 25/2
D. 25
E. 50


10000 can be written as 10^4 which can then be written as 2^4*5^4

So the equation changes to
\(\frac{(2^5*5^6) }{ (2^4*5^4)}\)

Upon solving, we are left with 2^1*5^2 = 2*25 = 50
Answer is (E)
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Re: (2^5*5^6)/10000=? [#permalink] New post   19 May 2021, 01:20
Expert Reply
=> \(2^5 * 5^6 = (2^5 * 5^5) * 5 = (10^5) * 5\)

=> \(10000 = 10^4\)

=> \(\frac{(10^5) * 5 }{ (10^4)} = 50\)

Answer E
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Re: (2^5*5^6)/10000=? [#permalink]
19 May 2021, 01:20
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