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Simplify. Answer should be with non-negative exponents. (3x^-4d^5)^2 times 12cd^-4...

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schooledmom | (Level 1) Salutatorian

Posted August 25, 2013 at 6:09 PM via web

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Simplify. Answer should be with non-negative exponents.

(3x^-4d^5)^2 times 12cd^-4

Im wondering if the x in this problem is a typo and it should be c?

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aruv | High School Teacher | (Level 2) Valedictorian

Posted August 25, 2013 at 6:19 PM (Answer #1)

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`(3x^(-4)d^5)^2xx(12cd^(-4))`

`=3^2(x^(-4))^2(d^5)^2xx(12cd^(-4))`

`=9(x^(-8))d^10xx12cd^(-4)`

`=108(1/x^8)cd^(10-4)`

`=(108cd^6)/x^8`

Here we apply

`(x^m)^n_=x^(mn)`

`x^m xx x^n=x^(m+n)`

`x^(-m)=1/x^m`

`If`

` x=c`

`Then`

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

``

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