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July 21st, 2017, 10:21 AM   #1
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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
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July 21st, 2017, 11:26 AM   #2
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You do realize that the jpg is unreadable.

What is the problem, and what did YOU do
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July 21st, 2017, 11:58 AM   #3
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$\dfrac{\sqrt{8c^{20}}}{\sqrt{32c^4}} = \dfrac{2\sqrt2c^{10}}{4\sqrt2c^2} = \dfrac{c^8}{2}$

$\dfrac{\sqrt{8c^{20}}}{\sqrt{32c^4}} = \sqrt{\dfrac{8c^{20}}{32c^4}} = \sqrt{\dfrac{c^{16}}{4}} = \dfrac{\sqrt{c^{16}}}{\sqrt4} = \dfrac{c^8}{2}$
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July 25th, 2017, 05:05 AM   #4
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There is no such thing as "the proper way" to do a math problem!
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