A little guidance please?

Question

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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!!

Love2Read Jan 16, 2019

edited by Love2Read Jan 16, 2019

CPhill · Answer 1 · 2019-01-16T06:26:43

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 !!!!