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55^5/5^55=

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55^5/5^55=  [#permalink]

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New post 17 Oct 2017, 12:23
4
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (00:57) correct 17% (01:16) wrong based on 127 sessions

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\(\frac{55^5}{5^{55}} =\)

(A) \(\frac{11}{5^{50}}\)

(B) \(\frac{11}{5^{55}}\)

(C) \(\frac{11^5}{5^{50}}\)

(D) \(\frac{11^5}{5^5}\)

(E) \(\frac{11^5}{5}\)

Source: Nova GMAT
Difficulty Level: 500
Spoiler: OA

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Re: 55^5/5^55=  [#permalink]

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New post 17 Oct 2017, 14:20
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SajjadAhmad wrote:
55^5/5^55 =

(A) 11/5^50
(B) 11/5^55
(C) 11^5/5^50
(D) 11^5/5^5
(E) 11^5/5

An Easy One


(55^5)/(5^55) = (5 x 11^5)/(5^5 x 5^50)
= (5^5)(11^5)/(5^5)(5^50)
= (5^5)/(5^5) x (11^5)/(5^50)
= 1 x (11^5)/(5^50)
= C

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Re: 55^5/5^55=  [#permalink]

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New post 18 Oct 2017, 08:02
\(55^5/5^{55}= (5*11)^5/5^{55}\)
Cancelling the like terms i.e. \(5^5\)
\(11^5/5^{50}\)
Answer C.
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Re: 55^5/5^55=  [#permalink]

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New post 22 Oct 2017, 16:55
SajjadAhmad wrote:
55^5/5^55 =

(A) 11/5^50
(B) 11/5^55
(C) 11^5/5^50
(D) 11^5/5^5
(E) 11^5/5


55^5/5^55 = (5^5 x 11^5)/5^55 = 11^5/5^50

Answer: C
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Re: 55^5/5^55=  [#permalink]

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New post 22 Oct 2017, 18:29
1
Based on formula a^m/a^n = a^(m-n) and (a*b)^m = a^m * b^n , solving we get C

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Re: 55^5/5^55=  [#permalink]

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New post 16 Oct 2019, 01:53
SajjadAhmad wrote:
55^5/5^55 =

(A) 11/5^50

(B) 11/5^55

(C) 11^5/5^50

(D) \(\frac{11^5}{5^5}\)

(E) \(\frac{11^5}{5}\)

Source: Nova GMAT
Difficulty Level: 500



This is how i solved

55 ^5 / 5 ^ 55

= 11^5 * 5^5 / 5^55
=11^5 * 5^5 / 5^50* 5^5

Cancel 5^5 from numerator and denominator

We get 11^5 / 5^50 ans C
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Re: 55^5/5^55=   [#permalink] 16 Oct 2019, 01:53
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