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Simplify, give answer with non-negative exponents. (3c^-4d^5)^2*12cd^-4

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schooledmom | Salutatorian

Posted August 21, 2013 at 2:47 AM via web

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Simplify, give answer with non-negative exponents.

(3c^-4d^5)^2*12cd^-4

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 21, 2013 at 3:02 AM (Answer #1)

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The product `(3c^-4d^5)^2*12*cd^-4` has to be simplified.

`(3c^-4d^5)^2*12*cd^-4`

= `3^2*c^-8*d^10*12*c*d^-4`

= `9*c^-8*d^10*12*c*d^-4`

= `108*c^(-8+1)*d^(10-4)`

= `108*c^-7*d^6`

= `(108*d^6)/c^7`

The required result is `(108*d^6)/c^7 `

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