SOLUTION: 32^3/5

Algebra ->  Exponents -> SOLUTION: 32^3/5      Log On


   

Question 156418: 32^3/5
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Remember this rule,
X%5E%28M%2AN%29=%28X%5EM%29%5EN
.
.
.
32%5E%283%2F5%29=%2832%5E%281%2F5%29%29%5E3
But
32=2%5E5
So then
32%5E%283%2F5%29=%2832%5E%281%2F5%29%29%5E3
32%5E%283%2F5%29=%28%282%5E5%29%5E%281%2F5%29%29%5E3
32%5E%283%2F5%29=2%5E3
32%5E%283%2F5%29=8

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
32^3/5
----------
The "3" means raise to the 3rd power.
The "5" means take the 5th root.
----------------------------------
Taking the 5th root of 32 you get:
2^3
Raising to the 3rd power you get:
8
============
Cheers,
Stan H.