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What is the decimal equivalent of (1/5)^2 ?

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What is the decimal equivalent of (1/5)^2 ?  [#permalink]

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New post Updated on: 21 May 2017, 08:50
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What is the decimal equivalent of \((\frac{1}{5})^5\) ?

A) 0.00032

B) 0.0016

C) 0.00625

D) 0.008

E) 0.03125
Spoiler: OA

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Originally posted by carcass on 21 May 2017, 08:45.
Last edited by Bunuel on 21 May 2017, 08:50, edited 1 time in total.
Renamed the topic.
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Re: What is the decimal equivalent of (1/5)^2 ?  [#permalink]

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New post 21 May 2017, 08:53
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carcass wrote:
What is the decimal equivalent of \((\frac{1}{5})^5\) ?

A) 0.00032

B) 0.0016

C) 0.00625

D) 0.008

E) 0.03125



\((\frac{1}{5})^5=(\frac{2}{10})^5=(\frac{32}{10^5})=0.00032\).

Answer: A.
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Re: What is the decimal equivalent of (1/5)^2 ?  [#permalink]

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New post 21 May 2017, 08:53
Bunuel wrote:
carcass wrote:
What is the decimal equivalent of \((\frac{1}{5})^5\) ?

A) 0.00032

B) 0.0016

C) 0.00625

D) 0.008

E) 0.03125



\((\frac{1}{5})^5=(\frac{2}{10})^5=(\frac{32}{10^5})=0.00032\).

Answer: A.


Similar question: https://gmatclub.com/forum/what-is-the- ... 23591.html
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Re: What is the decimal equivalent of (1/5)^2 ?  [#permalink]

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New post 11 Mar 2018, 13:10
Bunuel wrote:
carcass wrote:
What is the decimal equivalent of \((\frac{1}{5})^5\) ?

A) 0.00032

B) 0.0016

C) 0.00625

D) 0.008

E) 0.03125



\((\frac{1}{5})^5=(\frac{2}{10})^5=(\frac{32}{10^5})=0.00032\).

Answer: A.


how did you got 32 in numerator ? :?
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Re: What is the decimal equivalent of (1/5)^2 ?  [#permalink]

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New post 11 Mar 2018, 13:22
1
dave13 wrote:
Bunuel wrote:
carcass wrote:
What is the decimal equivalent of \((\frac{1}{5})^5\) ?

A) 0.00032

B) 0.0016

C) 0.00625

D) 0.008

E) 0.03125



\((\frac{1}{5})^5=(\frac{2}{10})^5=(\frac{32}{10^5})=0.00032\).

Answer: A.


how did you got 32 in numerator ? :?


Hi dave13

Formula: \((\frac{a}{b})^n = \frac{a^n}{b^n}\)

Here, \((\frac{2}{10})^5 = \frac{2^5}{10^5} = \frac{32}{100000} = 0.00032\)

Hope that helps you!
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Re: What is the decimal equivalent of (1/5)^2 ?  [#permalink]

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New post 11 Mar 2018, 13:31
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Decimal equivalent of \((1/5)^5\)?

Since we need decimal equivalent , we can start by converting value 1/5 to decimal. 1/5 is 0.20.

We need to find the value of \((0.2)^5\) , we know the value of \(2^5\) = 32 , so we should look for the value of 32 in the answer choice and include the necessary 0's after the decimal point.

Answer choice A is the only logical value here.

Ans: A
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What is the decimal equivalent of (1/5)^2 ?  [#permalink]

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New post 11 Mar 2018, 13:53
1
dave13 wrote:
Bunuel wrote:
carcass wrote:
What is the decimal equivalent of \((\frac{1}{5})^5\) ?

A) 0.00032

B) 0.0016

C) 0.00625

D) 0.008

E) 0.03125



\((\frac{1}{5})^5=(\frac{2}{10})^5=(\frac{32}{10^5})=0.00032\).

Answer: A.


how did you got 32 in numerator ? :?

dave13 - look at the numerator and the exponent.

Does that help? :-)
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Re: What is the decimal equivalent of (1/5)^2 ?  [#permalink]

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New post 12 Mar 2018, 09:52
carcass wrote:
What is the decimal equivalent of \((\frac{1}{5})^5\) ?

A) 0.00032

B) 0.0016

C) 0.00625

D) 0.008

E) 0.03125


\(\frac{1}{5} = 0.2\)

No need to do decimal calculations, 2^5 = 32 , Answer will clearly be (A)
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Re: What is the decimal equivalent of (1/5)^2 ?   [#permalink] 12 Mar 2018, 09:52
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