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Simplify: `(12x^5)/(3x^5/3)^3`

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monique06 | (Level 3) Valedictorian

Posted May 23, 2013 at 5:30 PM via web

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Simplify: `(12x^5)/(3x^5/3)^3`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 23, 2013 at 5:38 PM (Answer #1)

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The expression `(12x^5)/(3x^5/3)^3` has to be simplified.

`(12x^5)/(3x^5/3)^3`

= `(12x^5*3^3)/(3x^5)^3`

= `(12x^5*3^3)/(3^3*x^15)`

= `(12x^5)/(x^15)`

= `12/x^10`

The expression `(12x^5)/(3x^5/3)^3 = 12/x^10`

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oldnick | (Level 1) Valedictorian

Posted May 24, 2013 at 3:45 AM (Answer #3)

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If problem is:

`(12x^5)/(3x^5/3)^3`             `=(12x^5)/(x^5)^3=(12x^5)/x^15=12x^(5-15)=` `12x^-10=12/x^10` 

 Instead if problem is:

`(12x^5)/(3x^(5/3))^3`         `=(12x^5)/(3^3 xx x^(5/3 xx 3))` `=(12x^5)/(27 xx x^5)=4/9`

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