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July 21st, 2017, 10:21 AM  #1 
Newbie Joined: Jul 2017 From: Pennsylvania Posts: 1 Thanks: 0  Exponent simplification help needed
Below is a problem I did on khan academy, the first thing I did to simplify the problem was square the top and bottom, but in the solution they waited until the very end to take the square root which changed the answer. Was squaring the top and bottom first not the proper way to do it? I'm confused ughhh.jpg 
July 21st, 2017, 11:26 AM  #2 
Senior Member Joined: May 2016 From: USA Posts: 1,310 Thanks: 551 
You do realize that the jpg is unreadable. What is the problem, and what did YOU do 
July 21st, 2017, 11:58 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,641 Thanks: 2084 
$\dfrac{\sqrt{8c^{20}}}{\sqrt{32c^4}} = \dfrac{2\sqrt2c^{10}}{4\sqrt2c^2} = \dfrac{c^8}{2}$ $\dfrac{\sqrt{8c^{20}}}{\sqrt{32c^4}} = \sqrt{\dfrac{8c^{20}}{32c^4}} = \sqrt{\dfrac{c^{16}}{4}} = \dfrac{\sqrt{c^{16}}}{\sqrt4} = \dfrac{c^8}{2}$ 
July 25th, 2017, 05:05 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
There is no such thing as "the proper way" to do a math problem!


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