SOLUTION: i am trying to solve the following equations but i am not sure where to begin... 8 with a power of 5/3 and -81 with a power of 1/4

Algebra ->  Exponents -> SOLUTION: i am trying to solve the following equations but i am not sure where to begin... 8 with a power of 5/3 and -81 with a power of 1/4      Log On


   

Question 242640: i am trying to solve the following equations but i am not sure where to begin...

8 with a power of 5/3
and
-81 with a power of 1/4
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
8%5E%285%2F3%29+=+%288%5E5%29%5E%281%2F3%29+=+%288%5E%281%2F3%29%29%5E5

8%5E5+=+32768

8%5E%281%2F3%29+=+2

2%5E5+=+32

%288%5E5%29%5E%281%2F3%29+=+32768%5E%281%2F3%29+=+32

%288%5E%281%2F3%29%29%5E5+=+2%5E5+=+32

8%5E%281%2F3%29 is the same as root%283%2C8%29 = 2

32768%5E%281%2F3%29 is the same as root%283%2C32768%29 = 32

%288%5E5%29%5E%281%2F3%29 is the same as root%283%2C%288%5E5%29%29 = 32

%288%5E%281%2F3%29%29%5E5 is the same as %28root%283%2C%288%29%29%29%5E5 = 32