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

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Math Expert
Joined: 02 Sep 2009
Posts: 52971

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15 Nov 2016, 08:58
00:00

Difficulty:

5% (low)

Question Stats:

91% (01:11) correct 9% (00:47) wrong based on 80 sessions

### HideShow timer Statistics

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

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

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Senior Manager
Joined: 06 Jun 2016
Posts: 258
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
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15 Nov 2016, 09:06
Bunuel wrote:
(2^5*5^6)/10000=?

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

(2^5*5^6)/(2^4*5^4)= 2*5*5 = 50
E
Intern
Joined: 15 Nov 2016
Posts: 3

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15 Nov 2016, 09:26
Bunuel wrote:
(2^5*5^6)/10000=?

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

I did it this way:

2*2*2*2*2*5*5*5*5*5*5/10,000. I then factored out 10,000 step-by-step.
10000=5(2000). Cross off a 5 (5 5s remaining from up top)
2000=2(1000). Cross off a 2 (4 2s remaining from up top)
1000=5(200). Cross off a 5 (4 5s remaining from up top)
200=2(100). Cross off a 2 (3 2s remaining from up top)
100=5(20). Cross off a 5 (3 5s remaining from up top)
20=2(10). Cross off a 2 (2 2s remaining from up top)
10=2(5). Cross of a 2 and a 5. That leaves 2 5s and 1 2 remaining up top.
5*5=25*2=50.
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15 Nov 2016, 10:05
Bunuel wrote:
(2^5*5^6)/10000=?

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

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

Or, $$\frac{(2^5*5^5*5)}{10^4}$$

Or, $$\frac{(10^5*5)}{10^4}$$

Or, $$(10*5)$$ = $$50$$

Hence, answer will be (E) $$50$$
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Joined: 04 Mar 2011
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16 Nov 2016, 08:11
Bunuel wrote:
(2^5*5^6)/10000=?

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

We can start by breaking 10,000 into prime factors:

10,000 = 100 x 100 = 10 x 10 x 10 x 10 = 2^4 x 5^4

Plugging our prime factors back into the given expression, we have:

(2^5 x 5^6)/(2^4 x 5^4) = 2^1 x 5^2 = 2 x 25 = 50

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22 Oct 2018, 19:16
Hello from the GMAT Club BumpBot!

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: (2^5*5^6)/10000=?   [#permalink] 22 Oct 2018, 19:16
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