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What is the value of w^(−2)?

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What is the value of w^(−2)? [#permalink]

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New post 21 Oct 2015, 21:35
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Re: What is the value of w^(−2)? [#permalink]

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New post 21 Oct 2015, 23:05
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1. w^(-1)=(1/2)
=> (w^(-1))^2 =(1/2)^2
=1/4

Sufficient

2. w^3 =8
=> w= 2
=>w^(-2)=1/(w^2)= 1/4

Sufficient
Answer D
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Re: What is the value of w^(−2)? [#permalink]

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New post 21 Oct 2015, 23:34
St1: w^(-1) * w^(-1) = 0.5*0.5 = 0.25 --> Sufficient
St2: w^3 = 8 --> w = 2 --> w^(-1) = 0.5 --> w^(-2) = 0.25 --> Sufficient

Answer: D

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Re: What is the value of w^(−2)? [#permalink]

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New post 23 Oct 2015, 01:12
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Bunuel wrote:
What is the value of w^(−2)?

(1) w^(−1) = 1/2
(2) w^3 = 8


Kudos for a correct solution.


Rewrite the question to what is the value of \(\frac{1}{w^2}\)

1) 1/w = 1/2, hence w = 2, sufficient
2) w^3 = 8, hence w = 2 or -2, sufficient since w^2 will always be positive

Answer D
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Re: What is the value of w^(−2)? [#permalink]

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New post 23 Oct 2015, 20:45
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What is the value of w^(−2)?

(1) w^(−1) = 1/2
(2) w^3 = 8

effectively we need to calculate 1/(w)^2
there fore we need to know w ?

1. w^(−1) = 1/2
1/w= 1/2
hence w =2
Since we got unique value .we can calculate 1/(w)^2

2.w^3 = 8
hence w =2
Again we got unique value .we can calculate 1/(w)^2

Hence D ans
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Re: What is the value of w^(−2)? [#permalink]

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New post 24 Oct 2015, 03:31
its asking 1/w^2=?
1. 1/w..jus sqr it
2. w^3=8 w must be 2, then 1/w^2= 1/4...

m bit skepticle, did i miss something? :?:
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Re: What is the value of w^(−2)? [#permalink]

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New post 01 Oct 2016, 08:32
Bunuel wrote:
What is the value of w^(−2)?

(1) w^(−1) = 1/2
(2) w^3 = 8


Kudos for a correct solution.



==============

Really the easiest one... took only 19 Sec.
I think Gmat won't give these type of questions unless you do really drastic in Quant...
8-) :wink:

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Re: What is the value of w^(−2)? [#permalink]

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New post 01 Oct 2016, 08:35
Dabhishek wrote:
its asking 1/w^2=?
1. 1/w..jus sqr it
2. w^3=8 w must be 2, then 1/w^2= 1/4...

m bit skepticle, did i miss something? :?:

=========

What you have done is right...
But I think the Question asked just value of W... If you find anything either Square or Square root, It gives a Unique value.

Kudos will be same to say thanks ... :)
Hope this helps.. :)

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Re: What is the value of w^(−2)? [#permalink]

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New post 13 Nov 2016, 09:59
Just a small typo...
The actual question in the OG 2016 says w^8 = 8 in statement two.

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Re: What is the value of w^(−2)? [#permalink]

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New post 13 Nov 2016, 22:44
Bunuel wrote:
What is the value of w^(−2)?

(1) w^(−1) = 1/2
(2) w^3 = 8


Kudos for a correct solution.


Question: What is the value of w^(−2) ot 1/w^2?

Statement 1: w^(−1) = 1/2
i.e. 1/w = 1/2
i.e. 1/w^2 = 1/4
SUFFICIENT

Statement 2: w^3 = 8
i.e. w = 2
i.e. 1/w^2 = 1/4
SUFFICIENT

Answer Option D
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What is the value of w^(−2)? [#permalink]

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New post 22 Jan 2017, 08:59
Hello All,

I did it as below:

S-1 - w^(-1) = 1/2 so squaring gives w^(-2) = 1/4 Sufficient
S-2 - w^3 =8, so w has to be +2 only. It cannot be -2 else w^3 will be -8. So We know w we can get w^-2. Sufficient.
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What is the value of w^(−2)? [#permalink]

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New post 23 Jan 2017, 12:19
1,\(W^{-1}\) = 1/2
1/W = 1/2
\(W^{-2}\)= 1/4
AD
2, \(W^{3}\)= 8
W = 2
\(2^{-2}\)= 1/4
D
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Re: What is the value of w^(−2)? [#permalink]

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New post 18 Sep 2017, 04:42
1. 1/w=1/2 so w=2 sufficient
2. w^3=8 so, w=+2 sufficient
D

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Re: What is the value of w^(−2)? [#permalink]

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New post 25 Sep 2017, 17:34
If either statement 1 or 2 gave us an even power, would it still be sufficient?

i.e. if statement 1 was: W^-2 = number or W^2 = number
would that still be sufficient?

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Re: What is the value of w^(−2)? [#permalink]

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New post 25 Sep 2017, 21:16
ThisandThat wrote:
If either statement 1 or 2 gave us an even power, would it still be sufficient?

i.e. if statement 1 was: W^-2 = number or W^2 = number
would that still be sufficient?


Yes, because we want to find 1/w^2 and we could simply substitute the value of w^2 there without solving for w.
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Re: What is the value of w^(−2)?   [#permalink] 25 Sep 2017, 21:16
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