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Math Expert V
Joined: 02 Sep 2009
Posts: 59588
What is the value of w^(−2)?  [#permalink]

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3
13 00:00

Difficulty:   5% (low)

Question Stats: 92% (00:39) correct 8% (00:51) wrong based on 1417 sessions

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What is the value of w^(−2)?

(1) w^(−1) = 1/2
(2) w^3 = 8

Kudos for a correct solution.

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

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3
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
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Marshall & McDonough Moderator D
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Re: What is the value of w^(−2)?  [#permalink]

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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

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

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2
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

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

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1
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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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? _________________
correct if wrong, and a +1 wont hurt for like Keep Faith in God Coz Every Question cannot be answered by Google
Intern  B
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Re: What is the value of w^(−2)?  [#permalink]

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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.

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

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...  Intern  B
Joined: 19 Mar 2015
Posts: 38
Location: India
Re: What is the value of w^(−2)?  [#permalink]

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Dabhishek wrote:
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.. Current Student B
Joined: 04 Apr 2016
Posts: 3
Re: What is the value of w^(−2)?  [#permalink]

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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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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

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

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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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1,$$W^{-1}$$ = 1/2
1/W = 1/2
$$W^{-2}$$= 1/4
2, $$W^{3}$$= 8
W = 2
$$2^{-2}$$= 1/4
D
Intern  B
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Re: What is the value of w^(−2)?  [#permalink]

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1. 1/w=1/2 so w=2 sufficient
2. w^3=8 so, w=+2 sufficient
D
Intern  Joined: 27 Apr 2015
Posts: 8
Re: What is the value of w^(−2)?  [#permalink]

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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?
Math Expert V
Joined: 02 Sep 2009
Posts: 59588
Re: What is the value of w^(−2)?  [#permalink]

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

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Solve for w to determine the answer.

$$w^{-1}= \frac{1}{2}$$

$$w = 2$$

$$2^{-2}= 1/4$$

$$w^3 = 8$$

$$w = \sqrt{8}$$

$$w=2$$

$$2^{-2} = 1/4$$

D - Both are sufficient.
Manager  B
Joined: 03 Aug 2017
Posts: 92
Re: What is the value of w^(−2)?  [#permalink]

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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.

This is how i solved

Lets rephrase the target question

w^(−2) can also be written as 1 / w^2 = ?

1) w^(−1) = 1/2
So can be written as 1 /w^1 = 1/2 or w^1 = 2 if W^ 1 =2 w^2 = 2^2 = 4

We need to find out 1 / w^2 = ? = 1/2^2 = 1/4 = sufficient

(2) w^3 = 8

So W= 2 if w= 2 then 1 / w^2 = ? = 1/2^2 = 1/4 =sufficient

Ans =d Re: What is the value of w^(−2)?   [#permalink] 26 Oct 2019, 00:01
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