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Hi, If you try to group the terms then you will see the solution. [(-1)^m]*[(-1)^n+(1)]+[(-1)^n]

From A we know that m is odd so the sign will be neg. So no matter what the sign of n is the ans is -1. from b we know that n is odd which means that the sign is neg. The term in the [] is 0, and the ans is -1.

clearly we can see that m and n both are odd numbers, no matter how long they are , they are just odd numbers. And there is no chance of m or n to be even because they are given pronouncedly……. So the answer must be (C), because together the statements are sufficient to answer the question.

But the book says, the answer is (B) . the author imagined the m and n sometimes odd and sometimes even to evaluate the answer…….!!!

Have you seen this ?

_________________

Asif vai.....

Last edited by Bunuel on 15 May 2014, 04:10, edited 4 times in total.

Re: If m and n are integers, then what is the value of (-1)^m [#permalink]

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01 Aug 2013, 11:23

2

This post received KUDOS

Asifpirlo wrote:

Chapter name: exponents and roots, page: 280, problem set k, number : 5

If m and n are integers, then what is the value of (-1)^m + (-1)^n + (-1)^m . (-1)^n ? (1) m = 23522101 (2) n = 63522251

my solution: clearly we can see that m and n both are odd numbers, no matter how long they are , they are just odd numbers. And there is no chance of m or n to be even because they are given pronouncedly……. So the answer must be (C), because together the statements are sufficient to answer the question.

But the book says, the answer is (B) . the author imagined the m and n sometimes odd and sometimes even to evaluate the answer…….!!!

Have you seen this ?

The answer will neither be C nor B. It is D

From F.S 1, we know that m = odd and \((-1)^{odd} = -1\). Thus, \((-1)^m + (-1)^n + (-1)^m . (-1)^n = -1+(-1)^n-1*(-1)^n = -1\). We get a unique distinct numerical value, Sufficient.

Similarly,from F.S 2, we know that n = odd and thus, \((-1)^m + (-1)^n + (-1)^m . (-1)^n = -1+(-1)^m-1*(-1)^m = -1\). We get a unique distinct numerical value, Sufficient.

Re: If m and n are integers, then what is the value of (-1)^m [#permalink]

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01 Aug 2013, 15:16

mau5 wrote:

Asifpirlo wrote:

Chapter name: exponents and roots, page: 280, problem set k, number : 5

If m and n are integers, then what is the value of (-1)^m + (-1)^n + (-1)^m . (-1)^n ? (1) m = 23522101 (2) n = 63522251

my solution: clearly we can see that m and n both are odd numbers, no matter how long they are , they are just odd numbers. And there is no chance of m or n to be even because they are given pronouncedly……. So the answer must be (C), because together the statements are sufficient to answer the question.

But the book says, the answer is (B) . the author imagined the m and n sometimes odd and sometimes even to evaluate the answer…….!!!

Have you seen this ?

The answer will neither be C nor B. It is D

From F.S 1, we know that m = odd and \((-1)^{odd} = -1\). Thus, \((-1)^m + (-1)^n + (-1)^m . (-1)^n = -1+(-1)^n-1*(-1)^n = -1\). We get a unique distinct numerical value, Sufficient.

Similarly,from F.S 2, we know that n = odd and thus, \((-1)^m + (-1)^n + (-1)^m . (-1)^n = -1+(-1)^m-1*(-1)^m = -1\). We get a unique distinct numerical value, Sufficient.

D.

good job man...yes it is an obvious (D)...thanks for sorting out........
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Re: If m and n are integers, then what is the value of ( 1)^m + [#permalink]

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09 Sep 2016, 05:39

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