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View Full Version : Rationalizing a denominator of a fraction raised to the fourth power


Crystal09
Mar 11, 2009, 10:49 AM
Hello,

I have a problem that I have a lot of trouble with, and I've tried to simplify, but I don't get it right. I would appreciate the help!

Here it is: 256/9x^5 raised to the nth root of 4
I need to rationalize the denominator of 9x^5

I hope I explained myself well. Thanks for the help!

Crystal09
Mar 11, 2009, 11:01 AM
I would appreciate if you could show step by step simplifying- the main trouble I'm having with is rationalizing the x^5...

galactus
Mar 11, 2009, 11:13 AM
I am sorry, what do you mean by nth root of 4?

Is this it:

\sqrt[4]{\frac{256}{9x^{5}}}

The fourth root of 256 is 4, because 4^{4}=256

Please clarify before I go any further.

ebaines
Mar 11, 2009, 11:20 AM
Maybe the problem is this:


\left ( \frac {256} {x^5} \right ) ^ {( 4 ^ {1/ N} ) }


But as Galactus says - please clarify.

Crystal09
Mar 11, 2009, 11:29 AM
Hello,
Thanks for the reply! I apologize, I wasn't sure how to write the problem in words...

And yes, the problem is the one galactus wrote.