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raise the quanity in parenthese to indicate exponets,simplify resulting expression,...

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stargsd5 | Student, College Freshman | (Level 1) Valedictorian

Posted March 4, 2012 at 10:02 AM via web

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raise the quanity in parenthese to indicate exponets,simplify resulting expression, express w / positive exponets

(-47x^2y/141x^3y^-3)^3

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rcmath | High School Teacher | (Level 1) Associate Educator

Posted March 4, 2012 at 10:24 AM (Answer #1)

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There are different way to simplify this type of expressions, I am going to try and simplify the inside of the parenthesis first then cube the resulting fraction.

`[(-47x^2y)/(141x^3y^(-3))]^3=`

`[-(1*x^2y)/(3x^3y^(-3))]^3=`

`[(-x^(2-3)*y^(1-(-3)))/3]^3=`

`[(-x^(-1)*y^4)/3]^3=`

`(-x^(-3)*y^12)/27=`

`(-y^12)/(27x^3)`

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