Posted by Angie on Thursday, June 25, 2009 at 5:48pm.
Please simplify: Very confused, have many problems like this and need some guidence. Thanks!
(root5a^7/2)^4 a^3/a^8

Math  MathMate, Thursday, June 25, 2009 at 6:20pm
The problem has been solved before. See following link for explanations.
http://www.jiskha.com/display.cgi?id=1245905705 
Math  MathMate, Thursday, June 25, 2009 at 6:35pm
I have added the following clarification for Carmin. It is reproduced here in case you are also interested.
...
=(sqrt(5)^{4}*(a^{(7/2)})^{4}) a^{38}
=5^{(1/2)*4}*a^{(7/2)*4}*a^{38}
=25 a^{14} a^{5}
=25 a^{9}
the denominator 2 in the fraction (7/2) is an exponent and not a simple number. This is probably from where you got the 16. 
Math  Angie, Thursday, June 25, 2009 at 6:46pm
So the 16 is not part of the answer? It's just 25 a^9?

Math  MathMate, Thursday, June 25, 2009 at 8:31pm
Right!