SOLUTION: Hello! I had a question that I worked, I will provide my process...but I don't believe that I am correct. the question is asking me to rewrite with rational exponents. (sqrt6mn)^

Algebra ->  Radicals -> SOLUTION: Hello! I had a question that I worked, I will provide my process...but I don't believe that I am correct. the question is asking me to rewrite with rational exponents. (sqrt6mn)^      Log On


   

Question 329229: Hello!
I had a question that I worked, I will provide my process...but I don't believe that I am correct. the question is asking me to rewrite with rational exponents.
(sqrt6mn)^9
my answer is
(6mn)^9/2 is this correct?
Thanks a million!
Appreciate all of your advice and help!
Julie
Found 3 solutions by Fombitz, Alan3354, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, that's correct.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(sqrt6mn)^9
my answer is
(6mn)^9/2 is this correct?
---------------------------
%28sqrt%286mn%29%29%5E9 does equal
%286mn%29%5E%289%2F2%29
But what's usually expected is to minimize what's under the radical.
= %286mn%29%5E4%2Asqrt%286mn%29
or 1296m%5E4n%5E4%2Asqrt%286mn%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the question is asking me to rewrite with rational exponents.
(sqrt6mn)^9
my answer is
(6mn)^(9/2) is this correct?
--------------
Correct
Cheers,
Stan H.