-32 can be written as (-2) to the 5th power. therefore the expression (-32)^(-1/5) can be written as [{(-2)^5}]^(-1/5) which is equal to (-2) to the (-1) power and finally equals -1/2
2007-05-23 02:10:13
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answer #1
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answered by Shepherd 1
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-1/2
this is because
any number to the negative is 1 over that number to the power
eg
5^-3
is 1/5^3
we get 1/-32^1/5
when you raise a number to a fraction it is like raising it to the numerator and finding the root by the denominator
so 3^2/3 would be
cubic root of 3^2
so -32^1/5
is root 5 of -32^1
2^5 is 32 so
we get 1/-2
which =-1/2
2007-05-23 00:40:33
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answer #2
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answered by Anonymous
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(-32)^(-1/5)=
(1/[-32]^[1/5])=
This means ''1 divided by the fifth root of negative 32.''
this is equal to: (1/[-2])=
-1/2 ------> Final Answer
2007-05-23 01:04:40
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answer #3
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answered by fictitiousness ;-) 2
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(-32)^(- 1/5) = - 1 / 32^(1/5) = - 1 / 2
2007-05-23 07:32:05
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answer #4
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answered by Como 7
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(-32)^-0.2 = 1/[(-32)^0.2] = 1/(the fifth root of -32)
and the fifth root of -32 is any one of the solutions to the equation:
x^5 = -32
which has 5 solution in C.
Does that answer your question?
2007-05-23 00:43:57
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answer #5
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answered by D H_Vie 1
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I believe that a power can't be an integer.
Powers can only be "counting numbers".
That is 1 up to the largest number in the calculator.
2007-05-23 00:44:46
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answer #6
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answered by Anonymous
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(-32)^(-1/5) = -1/2
Just plug it into a graphing calculator
2007-05-23 01:16:14
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answer #7
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answered by Bubba B. 1
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(-32)^(-1/5) =
((-2)^(5))^(-1/5)=
(-2)^(5*(-1/5))=
(-2)^(-1)=
-1/2 -> this is the answer
2007-05-23 00:44:02
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answer #8
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answered by seed of eternity 6
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-32 raised-1/5
ans=
-1/2=-0.5
2007-05-23 00:46:05
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answer #9
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answered by xprof 3
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