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# If a, b are negative which of the following is correct about

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CEO
Joined: 15 Aug 2003
Posts: 3454
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Kudos [?]: 874 [0], given: 781

If a, b are negative which of the following is correct about [#permalink]

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17 Sep 2003, 08:36
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10. If a, b are negative which of the following is correct about a^b ?

a^b is integer
a^b is negative
/a^b/<=1 (absolute value <=1)

A.I only
B.II only
C.III only
D.I and II
E.II and III

None of them seem to be correct. check and confirm please.
Manager
Joined: 15 Sep 2003
Posts: 73
Location: california
Followers: 1

Kudos [?]: 10 [0], given: 0

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17 Sep 2003, 12:51
it's C...my reasoning: b/c you know that "b" is negative for sure....so whatever the answer will be you know that it will be 1 over whatever "a^b" will be..try any combination of numbers and you will always get an absolute value <=1
Intern
Joined: 28 Aug 2003
Posts: 36
Location: USA
Followers: 0

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

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17 Sep 2003, 16:21
praetorian123 wrote:
10. If a, b are negative which of the following is correct about a^b ?

a^b is integer
a^b is negative
/a^b/<=1 (absolute value <=1)

A.I only
B.II only
C.III only
D.I and II
E.II and III

None of them seem to be correct. check and confirm please.

If a and b are integers, then C is correct. Otherwise, none of them.
CEO
Joined: 15 Aug 2003
Posts: 3454
Followers: 67

Kudos [?]: 874 [0], given: 781

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17 Sep 2003, 22:16
rich28 wrote:
C. -2^-4=1/16 which is less than one.

hey rich,

if you try fractions, we dont get values

try a= -1/4, b= -4

[(-1)^-4 ]/ [(4^-4)] = 4^4 /(-1)^4 = 256 > 1 ...so C doesnt work

i guess it must be a typo in the question..

so C works only with a and b as integers

thanks
praetorian
17 Sep 2003, 22:16
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