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# If √x=y, which of the following could be equal to 1/(x^−2)^−2

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Senior Manager
Joined: 18 Feb 2019
Posts: 365
Location: India
GMAT 1: 460 Q42 V13
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If √x=y, which of the following could be equal to 1/(x^−2)^−2  [#permalink]

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Updated on: 10 Apr 2019, 12:50
00:00

Difficulty:

45% (medium)

Question Stats:

55% (00:48) correct 45% (01:05) wrong based on 11 sessions

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If √x=y, which of the following could be equal to $$\frac{1}{(x^{−2})^{−2}}$$

A. y^-8
B. y^-4
C. y^-2
D. y
E. y^2

Originally posted by kiran120680 on 10 Apr 2019, 12:17.
Last edited by Bunuel on 10 Apr 2019, 12:50, edited 1 time in total.
Formatted.
Manager
Joined: 10 Oct 2018
Posts: 177
Location: United States
GPA: 4
WE: Human Resources (Human Resources)
Re: If √x=y, which of the following could be equal to 1/(x^−2)^−2  [#permalink]

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10 Apr 2019, 13:19
kiran120680 wrote:
If √x=y, which of the following could be equal to $$\frac{1}{(x^{−2})^{−2}}$$

A. y^-8
B. y^-4
C. y^-2
D. y
E. y^2

$$\frac{1}{(x^{−2})^{−2}}$$ = ($$x^{-2}$$)$$^2$$ = $$x^{-4}$$

We know x= (√x)$$^2$$

So, $$x^{-4}$$ can also be written as (√x)$$^{-8}$$

Question says √x=y so substituting y in place of √x gives (y)$$^{-8}$$.......Option A
_________________
Re: If √x=y, which of the following could be equal to 1/(x^−2)^−2   [#permalink] 10 Apr 2019, 13:19
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