James B.

asked • 04/03/15

radical form two ways

I am given the following equation in Algebra 2:
 
xm/n can be written in radical form in two ways: 
 
It is followed by two blank spaces separated by and. I think the first one is n√xm. What is the second way to write this equation in radical form?
 

1 Expert Answer

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Mark M. answered • 04/03/15

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xm/n = n√(xm) or (n√ x )m
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James B.

I understand the first form, but the second confuses me. Do you mean that the x is under the radical sign, but the m is outside of it?
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04/03/15

Mark M.

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Sorry, the math font is not the greatest.  Yes, in the second method, x is under the radical and m is outside.  Lets take an example, say 82/3, so m = 2 and n = 3.
 
First method:  Find 82 (64) and then take the cube root of 64 to get                          4.
 
Second method:  Find the cube root of 8 (2) and then square 2 to                                 get 4.  
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04/03/15

James B.

Thank you!
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04/03/15

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