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Please an someone explain how to get to the answer? thanks

 

125^-4/3

 Apr 12, 2018
 #1
avatar+95951 
+3

125 ^ (-4/3)

 

Note that we can write this as

 

( 125^1/3)^(-4)        the value in the first parentheses is just the cube root of 125  = 5

 

So we have

 

(5)^(-4)          {    remember that  a^(-m)  =   1 / a^m  }

 

1 / 5^4   =    1 / (5^2 * 5^2)  =   1 / (25 * 25)   =  1 / 625

 

 

cool cool cool

 Apr 12, 2018

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