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(1/1)/(1/5^(-2))

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(1/1)/(1/5^(-2))  [#permalink]

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New post 26 Aug 2018, 05:45
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

87% (00:11) correct 13% (00:32) wrong based on 15 sessions

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Re: (1/1)/(1/5^(-2))  [#permalink]

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New post 26 Aug 2018, 08:25
Bunuel wrote:
\(\frac{\frac{1}{1}}{\frac{1}{5^{-2}}}\)is equal to which of the following?


(A) \(\frac{1}{25}\)

(B) \(\frac{1}{5}\)

(C) \(1\)

(D) \(5\)

(E) \(25\)


\(\frac{\frac{1}{1}}{\frac{1}{5^{-2}}}\)

\(= \frac{1}{1}/25\)

Now, \(\frac{1}{1} = 1\) , So we are left we \(\frac{1}{25}\) , Answer must be (A)
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(1/1)/(1/5^(-2))  [#permalink]

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New post 26 Aug 2018, 08:53
Bunuel wrote:
\(\frac{\frac{1}{1}}{\frac{1}{5^{-2}}}\)is equal to which of the following?


(A) \(\frac{1}{25}\)

(B) \(\frac{1}{5}\)

(C) \(1\)

(D) \(5\)

(E) \(25\)


Numerator of the given expression: \(\frac{1}{1}\)=1
Numerator of the given expression:\(\frac{1}{5^{-2}}\)=\((5^{-2})^{-1}=5^{(-2)*(-1)}=5^2=25\)

So, given expression is simplified to:- \(\frac{Numerator}{Denominator}\)=\(\frac{1}{25}\)

Properties of exponents used to simplify denominator:-
a) \(\frac{1}{a^m}\)=\(a^{-m}\)
b) \((a^m)^n=a^{m*n}\)
I hope everybody knows these, still I reminded.

Ans. (A)
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Re: (1/1)/(1/5^(-2))  [#permalink]

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New post 26 Aug 2018, 11:22
Bunuel wrote:
\(\frac{\frac{1}{1}}{\frac{1}{5^{-2}}}\)is equal to which of the following?


(A) \(\frac{1}{25}\)

(B) \(\frac{1}{5}\)

(C) \(1\)

(D) \(5\)

(E) \(25\)


\(\frac{1}{1}\) = 1

\(\frac{1}{1/ 5^{-2}}\)

= \(\frac{1}{1/ 1 / 25}\)

= 25

So, 1 / 25.

The best answer is A.
Re: (1/1)/(1/5^(-2)) &nbs [#permalink] 26 Aug 2018, 11:22
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