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Which of the following is equivalent to [ (x^ 2 y^ 3 )^ -2/ (x^ 6 y^ 3 z)^3]? worth 60 points!

Which of the following is equivalent to [ (x^ 2 y^ 3 )^ -2/ (x^ 6 y^ 3 z)^3]? worth-example-1
User Ericson
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7.1k points

2 Answers

4 votes

Answer:


\displaystyle (1)/(x^(48)y^(36)z^6)

Explanation:


\displaystyle[((x^2 y^3)^(-2))/((x^6 y^3 z)^2 ) ]^3


\displaystyle ((x^2 y^3)^(-6))/((x^6 y^3 z)^6 )


\displaystyle ((x^(-12) y^(-18)))/((x^(36) y^(18)z^6 ) )


\displaystyle (x^(-48) y^(-36))/(z^6 )


\displaystyle (1)/(x^(48)y^(36)z^6)

User Gopal Krishnan
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7.3k points
2 votes

Answer:


(1)/(x^(48)y^(36)z^(6))

Explanation:


(((x^2y^3)^(-2))/((x^6y^3z)^(2)))^3 =


= ((1)/((x^6y^3z)^(2)(x^2y^3)^(2)))^3


= ((1)/(x^(12)y^6z^(2)x^4y^6))^3


= ((1)/(x^(16)y^(12)z^(2)))^3


= (1)/(x^(48)y^(36)z^(6))

User Rgoal
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