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Simplify this equation: [ ( x^2/3)^3/4 ]^2  

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rosey-girl | Student, Grade 12 | (Level 1) Valedictorian

Posted May 20, 2013 at 10:44 PM via web

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Simplify this equation:

[ ( x^2/3)^3/4 ]^2

 

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crmhaske | College Teacher | (Level 3) Associate Educator

Posted May 20, 2013 at 10:58 PM (Answer #1)

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The rules of exponentilas are such that any exponential raised to an exponential is equal to the multiplication of them both such that:

`(a^m)^n=a^(mn)`

Therefore:

`((x^(2/3))^(3/4))^2=x^((2/3)(3/4)(2))=x^(12/12)=x`

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