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(-8/125)^-2/3

 Aug 17, 2015

Best Answer 

 #1
avatar+23245 
+5

An exponent of -2/3 includes three operations: the - sign requires that you have to flip your answer, the 2 requires that you must square the number, and the 3 requires that you find the cube root of the number.

These three operations can be done in any order:

(-8/125)-2/3  =  (125/-8)2/3  (flip because of the - sign)

                      =  (5/-2)2         (find the cube root)

                       =  25/4             (square the number)

 Aug 17, 2015
 #1
avatar+23245 
+5
Best Answer

An exponent of -2/3 includes three operations: the - sign requires that you have to flip your answer, the 2 requires that you must square the number, and the 3 requires that you find the cube root of the number.

These three operations can be done in any order:

(-8/125)-2/3  =  (125/-8)2/3  (flip because of the - sign)

                      =  (5/-2)2         (find the cube root)

                       =  25/4             (square the number)

geno3141 Aug 17, 2015

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