SOLUTION: x to the power of 2/3 divided by x to the power of 1/3 is equal to 4 what is x?

Algebra ->  Exponents -> SOLUTION: x to the power of 2/3 divided by x to the power of 1/3 is equal to 4 what is x?      Log On


   

Question 198692: x to the power of 2/3 divided by x to the power of 1/3 is equal to 4
what is x?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x to the power of 2/3 divided by x to the power of 1/3 is equal to 4
what is x?
:
%28x%5E%282%2F3%29%29%2F%28x%5E%281%2F3%29%29 = 4
Subtract exponents when you divide like terms
:
x%5E%282%2F3-1%2F3%29 = 4
:
x%5E%281%2F3%29 = 4
;
Cube both sides:
%28x%5E%281%2F3%29%29%5E3+=+4%5E3
x = 64
:
:
Check solution on calc; enter: (64^(2/3))/(64^(1/3)) = 4