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January 30, 2015

January 30, 2015

Posted by **Ann** on Sunday, November 3, 2013 at 1:36pm.

I think -1/2(2x+3)^5 is the more simplified version of the two, but I just can't figure out how -16/(4x+6)^5 simplifies to -1/(2(2x+3)^5). please explain

- Pre-Calculus -
**Reiny**, Sunday, November 3, 2013 at 2:49pmWhen you factor the denominator you get

(4x+6)^5

= 2^5 (2x + 3)^5

= 32(2x+3)^5

so -16/(4x+6)^5

= -16/(32(2x+3)^5)

= -1/(2(2x+3)^5)

further explanation:

(4x+6)^5

= (4x+6)(4x+6)(4x+6)(4x+6)(4x+6)

= (2)(2x+3)(2)(2x+3)(2)(2x+3)(2)(2x+3)(2)(2x+3)

= 32(2x+3)^5

- Pre-Calculus -
**Ann**, Monday, November 4, 2013 at 2:44amthanks

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