[SOLVED] Indice Operations Simplification Problem

okay, so here's the problem. I wish I had tutoring when I was younger or had more help in math, now I'm trying to cram algebra revision, trig and curves and functions in 9 days for a test so I can get into engineering related classes I need.

I get most problems, just here and there I stumble onto something I can't solve because I don't know the little points.

So this is the equation:

a^3 b^1/2 c^-1/2 (ab)^1/3

------------------------------ the "divided by" line

( squareroot(a^3 squareroot(b c)

ok, i'm trying to figure out if the (ab) portion becomes a^1/3 and b^1/3

and if the squareroot of a^3 is actually a^3/2 ,

I'm pretty confused.

p.s. I'm working from the Higher Engineering Mathematics Textbook (this problem specifically) and College Algebra Demystified and reviewing Algebra Demystified.

and the answer is also there in the textbook, but it doesn't show you how to get it, and I've been trying to work the problem backwards too.

Thanks.