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What is the simplest radical form of the expression? (x^4y^7)^2/3

 

I tried doing this myself and got an answer of x^2y^4 3 square root x^2y^2

 

I need help with this cause I am not completely sure that this is correct

 

Thank you so much you are the best!!

 Jan 16, 2019
edited by Love2Read  Jan 16, 2019
 #1
avatar+96201 
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Easiest to  use exponential properties and then convert to radical form

 

 (x^4y^7)^2/3  =

 

[ x^4 ]^(2/3)  * [ y^7 ]^(2/3)  =

 

x^(8/ 3)  * y^(14/3)  =

 

x^( 2 + 2/3)  *  y^(4 + 2/3)  =

 

x^2 * y^4  * x^(2/3) * y^(2/3)   =

 

x^2 * y^4  ∛ [ x^2 * y^2 ]

 

You were correct   !!!!

 

cool cool cool

 Jan 16, 2019

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