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May 1st, 2016, 03:14 PM  #11 
Math Team Joined: Nov 2014 From: Australia Posts: 689 Thanks: 244 
There are two things you need to know for that. Firstly, $(ab)^c = a^cb^c$. Secondly, $a^ba^c = a^{b + c}$. So for example, $\dfrac{1}{5}(7x^2)^{4/5} = \dfrac{1}{5}\cdot7^{4/5}x^{8/5}$ Keep expanding like that and you should get the right hand side. 
May 1st, 2016, 03:50 PM  #12  
Math Team Joined: Dec 2013 From: Colombia Posts: 7,635 Thanks: 2620 Math Focus: Mainly analysis and algebra  Quote:
If you wish to understand a language, you must first understand how it is written.  
May 1st, 2016, 04:37 PM  #13 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,790 Thanks: 629 Math Focus: Yet to find out.  
May 1st, 2016, 05:29 PM  #14 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,635 Thanks: 2620 Math Focus: Mainly analysis and algebra 
I've put a reply into that thread, which I encourage the OP to read.

May 4th, 2016, 12:33 PM  #15 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
I want to add again my annoyance that the Latex code for "nth root" is "\sqrt[n]{x}"! This is titled "How to differentiate square root with a small number to the left" when, in fact, it has nothing to do with the a square root!


Tags 
differentiate, exponent, inside, left, number, root, small, square 
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