June 13th, 2014, 06:23 AM  #1 
Newbie Joined: Jun 2014 From: chennai Posts: 17 Thanks: 0  a^1/3b^1/3
How is it that a^1/3b^1/3 can be written as (ab)/(a^2/3(ab)^1/3+b^2/3)? :I don't remember whether it's b^2/3 or +b^2/3. Anyways, how do you write a^1/3b^1/3 in (ab)/x form? Please help as soon as possible. Running out of time. My exam begins in 32 hours. Last edited by skipjack; June 13th, 2014 at 11:35 PM. 
June 13th, 2014, 08:15 AM  #2 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361 
$\displaystyle \left(a^{\frac{1}{3}}  b^{\frac{1}{3}}\right)\left(a^{\frac{2}{3}} + (ab) ^{\frac{1}{3}} + b^{\frac{2}{3}}\right) = ab$

June 13th, 2014, 03:49 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,854 Thanks: 744 
It is easier to see as: $\displaystyle (xy)(x^2+xy+y^2)=x^3y^3$ 
June 13th, 2014, 09:31 PM  #4 
Newbie Joined: Jun 2014 From: chennai Posts: 17 Thanks: 0 
thank you so much yall
