Basically, you have to break down the power into pieces.
[Note: Using the rule which stated: X^(a*b) =(X^a)^b.]
(125)^(-2/3)
= [125^(1/3)]^(-2)
~> Since 125 = 5^3, 125^(1/3) = 5
=(5^2)^-1
=1/25
2007-05-29 23:33:35
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answer #1
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answered by Ben 3
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= 1 / 125^(2/3)
= 1 / 5²
= 1 / 25
= 4 / 100
= 0 . 04
2007-05-30 07:22:47
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answer #2
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answered by Como 7
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knowing powers of integers will help
for example 125 = 5^3 so 125^(1/3) = 5
so (125)^(-2/3) is 5^(-2) = 1/25
2007-05-30 06:35:54
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answer #3
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answered by TENBONG 3
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125^(-2/3)
= 1/[125^(2/3)]
= 1/[cube root of 125]^2
= 1/(5^2)
= 1/25
2007-05-30 20:53:43
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answer #4
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answered by Kemmy 6
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=(125)^-2/3
=1/(125)^2/3
=1/(*cuberoot of* 125)^2
=1/(5)^3
=1/25
2007-05-30 06:38:33
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answer #5
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answered by EJ Maximo 2
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(125)^-2/3
=1/(125)^2/3 ........(a^)-m = 1/a^m
=1/(5^3)2/3 ........1/(a^m)^n =1/a^mn
=1/5^2
=1/25
2007-06-02 06:04:58
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answer #6
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answered by billako 6
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if it x (a number) to the power of a/b, i look at it his way. b root of
x the power of a.
i.e 3rd root of 125 =5
5 to the power of 2= 25.
Good luck on Monday. i'm sitting the exam too
2007-05-30 16:58:24
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answer #7
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answered by manunitedk 3
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(125)^-2/3
=(5^3)^-2/3
=(5)^3*-2/3
=(5)^-2
=1/5^2
=1/25
2007-05-30 06:37:31
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answer #8
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answered by Jain 4
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It's imperative that you know the basic meaning of the concept!!!!!!!
2007-05-30 06:34:14
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answer #9
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answered by Dave B 2
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