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# Find an integer M. (1) M^M=M^3 (2) =1

Author Message
Manager
Joined: 25 May 2003
Posts: 54

Kudos [?]: 3 [0], given: 0

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26 May 2003, 01:06
bill gates trying to screw us on GMAT???

i have to burst my bubble tho

0^0 =1, but 0^3=0, so x=0 is not a possible solution from (1)

originally i was thinking 0^0=0, and therefore a possible solution

Kudos [?]: 3 [0], given: 0

Founder
Joined: 04 Dec 2002
Posts: 15428

Kudos [?]: 27887 [0], given: 5041

Location: United States (WA)
GMAT 1: 750 Q49 V42

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26 May 2003, 01:19
I think Billy is right behind us

I tried multiplying 0 x 0 and such - as to the rules of powers (2^3 = 2x2x2) but it gives a 0. So far there are 3 choices for 0^0 (1, 0, and undefined, which I would claim makes it an undefined case, but we'll soon see. I am writing a short message to GMAC). It is obviously one of those made up things for the sake of sanity in the Universe.

-=-

Last edited by bb on 26 May 2003, 01:30, edited 1 time in total.

Kudos [?]: 27887 [0], given: 5041

Manager
Joined: 25 May 2003
Posts: 54

Kudos [?]: 3 [0], given: 0

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26 May 2003, 01:27
here's my understanding:

0^x, where x>0, is always equal to 0

0^x, where x<0, is undefined

x^0, where x is ANY number (negative, positive, or zero) always equal to 1

Kudos [?]: 3 [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 299 [0], given: 0

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26 May 2003, 02:10
Guys, 0^0 ≠ 0^3.
0^0 has no solution, at least for the GMAT program.
Thus, negate it, eliminate it, terminate it, kill it, forget about it

Kudos [?]: 299 [0], given: 0

Intern
Joined: 25 May 2003
Posts: 17

Kudos [?]: [0], given: 0

Location: Thailand

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01 Jun 2003, 23:41
The answer is E... I love this question.

Kudos [?]: [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 299 [0], given: 0

X, Y, and Z are integers. Find (X*Y)^Z. (1) 1=|X*Y| (2) [#permalink]

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02 Jun 2003, 01:11
X, Y, and Z are integers. Find (X*Y)^Z.

(1) 1=|X*Y|
(2) Z^2=Z^3

Kudos [?]: 299 [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 299 [0], given: 0

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02 Jun 2003, 03:15
Who knows... Let us wait what other people say

Kudos [?]: 299 [0], given: 0

Manager
Joined: 12 Mar 2003
Posts: 59

Kudos [?]: 1 [0], given: 0

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02 Jun 2003, 05:29
Ans : E

1) 1 or -1
2) 0 or 1

Combined : 1, 1, 1, or -1

Kudos [?]: 1 [0], given: 0

02 Jun 2003, 05:29

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