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# If x and y are distinct non-negative integers, what is the value of x^

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Intern
Joined: 13 Sep 2018
Posts: 1
If x and y are distinct non-negative integers, what is the value of x^  [#permalink]

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02 Dec 2018, 18:23
00:00

Difficulty:

55% (hard)

Question Stats:

33% (01:23) correct 67% (01:28) wrong based on 6 sessions

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If x and y are distinct non-negative integers, what is the value of x^y?

(1) y^x = 1

(2) (2^y)2^x = 1
Math Expert
Joined: 02 Aug 2009
Posts: 7100
Re: If x and y are distinct non-negative integers, what is the value of x^  [#permalink]

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02 Dec 2018, 20:41
2
mkortepe wrote:
If x and y are distinct non-negative integers, what is the value of x^y?

(1) y^x = 1

(2) (2^y)2^x = 1

The question, along with OA, is flawed..

X and y are non negative integers so 0 or more..

1) $$y^x=1$$
Possible when x is 0 and y could be anything...so x^y will be 0..
Also when y is 1 and X can be anything... So x^y will be equal to x .
Insufficient

2) $$(2^y)2^x=1=2^0.........y+x=0$$...
Not possible...
As both X and y are distinct so both cannot be 0 and none is negative, so no other combination will fit...
FLAWED
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If x and y are distinct non-negative integers, what is the value of x^ &nbs [#permalink] 02 Dec 2018, 20:41
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