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# If x and y are positive integers and x^2y = x^4y−6, what is the value

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Math Expert
Joined: 02 Sep 2009
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If x and y are positive integers and x^2y = x^4y−6, what is the value  [#permalink]

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01 Oct 2018, 04:37
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Difficulty:

65% (hard)

Question Stats:

57% (01:34) correct 43% (01:22) wrong based on 28 sessions

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If x and y are positive integers and $$x^{2y} = x^{4y−6}$$, what is the value of $$y^{2x}$$?

(1) $$x^2 = 4$$

(2) $$−3 < x < 3$$

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Re: If x and y are positive integers and x^2y = x^4y−6, what is the value  [#permalink]

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01 Oct 2018, 04:49
From statement 1:

$$x^2$$ = 4. x will be +2 or -2.
But x is a positive integer. Hence 1 is sufficient.

From statement 2:

x can be 1 or 2. Hence insufficient.

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Re: If x and y are positive integers and x^2y = x^4y−6, what is the value   [#permalink] 01 Oct 2018, 04:49
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