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Algbrea 2 Math

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3 Answers

 Question has not been written properly:
 
   Probably is this:
 
 
 
    793-1/3 = (1/793)1/3 = 3√1/793 = 0.11
 
   Negative exponent is inverse of the base to positive exponent.      
I am assuming that you mistyped and meant to write 729-1/3. Written in radical notation it would be: -1√(729/3) = -1√243, (this is taking into account that a regular square root can be written as 2√X and a cube root would be 3√X). However, with roots, one can write the equation √4 as (4)^(1/2) which both would be equal to 2. So with the number you have written, it can be re-written as (729/3)^-1 which would be the same as 3/729.


If you just accidentally wrote the "-" and the actual question is just (729^1)/3 then the answer would purely be 729/3 which is equal to 243.

                          1                  1              1
(729)-1/3  = -------------  =  ----------  =  ----
                     (729) 1/3        3√729          9