March 6th, 2014, 06:06 PM  #1 
Newbie Joined: Mar 2014 Posts: 1 Thanks: 0  cube root
What is the cube root of (81x^8y^12)? It is probably super easy, but after several tries, I just give up. Thank you so much!!! Given answers: A) 3x^2y^4 cube root of (3x^2) B) 3x^2y^4 fifth root of (3x^2) C) 3x^2y^12 cube root of (3x^2) D) 3x^2y^4 cube root of (3xy) 
March 6th, 2014, 06:29 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,681 Thanks: 2659 Math Focus: Mainly analysis and algebra  Re: cube root
The cube root of any product is the product of the cube root of each elements of the product. That is: Also and Armed with that, you should be able to have another go. 
March 6th, 2014, 06:40 PM  #3 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: cube root 
March 6th, 2014, 07:13 PM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,963 Thanks: 1148 Math Focus: Elementary mathematics and beyond  Re: cube root When multiplying exponentials with the same base, add the exponents. The above uses that rule "in reverse". 
March 6th, 2014, 11:57 PM  #5  
Global Moderator Joined: Dec 2006 Posts: 20,968 Thanks: 2217  Quote:
 

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