help with radical expressions

From: lauranalee (rberlin_at_gmail.com)
Date: 10/14/04 

Date: 14 Oct 2004 12:01:42 -0700

I'm brushing up on my precalculus before going back to school and I'm
having trouble with the Radical Expressions section. (I've had this
in high school and College Algebra, but they went over it so quickly I
never got a good understanding and that was about 8 yrs ago.) Anyway,
I do fine till I get to a problem like (4x+5)^3/2 or (2x-1)^-1/2. I
came across this problem in my book and I'm lost. Can anybody help?

It says to simplify the expression:

(4x+5)^3/2*(-1/2)*(2x-1)^-3/2*(2)-(2x-1)^-1/2*(3/2)*(4x+5)^1/2*(4)
-------------------------------------------------------------------
    [(4x+5)^3/2]^2

To make it easy on you the answer I'm given in the back of the book
is:

      -16x+1
-------------------------
(4x+5)^5/2*(2x-1)^3/2

Thanks!

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