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(-125)^1/3

 Mar 18, 2018
 #1
avatar+606 
+1

sorry I misread the question

 Mar 18, 2018
edited by gueesstt  Mar 18, 2018
 #2
avatar
+1

Simplify the following:

(-125)^(1/3)

 

(-125)^(1/3) = (-1×125)^(1/3) = (-1×5^3)^(1/3):

(-5^3)^(1/3)

 

(-5^3)^(1/3) = (-1)^(1/3) (5^3)^(1/3) = (-1)^(1/3)×5^(3/3) = (-1)^(1/3)×5:

 

5(-1)^(1/3)

 Mar 18, 2018
 #5
avatar+97561 
+2

Here is a correction to you answer guest :)

 

Simplify the following:

(-125)^(1/3)

 

(-125)^(1/3) = (-1×125)^(1/3) = (-1×5^3)^(1/3):

(-5^3)^(1/3)

 

(-5^3)^(1/3) = (-1)^(1/3) (5^3)^(1/3) = (-1)^(1/3)×5^(3/3) = (-1)^(1/3)×5:

 

= -1*5

= -5

 

(-1)^(1/3) = -1 becasue  (-1)^3=-1

Melody  Mar 18, 2018
 #3
avatar+950 
+1

-41.6666666667

 Mar 18, 2018
 #4
avatar+97561 
+3

(-125)^1/3

 

since 

 (-5)^3=-125

 

(-125)^(1/3) = -5    

 Mar 18, 2018

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