a1ndraChe0ra
a1ndraChe0ra a1ndraChe0ra
  • 24-12-2016
  • Mathematics
contestada

Find the quotient.

4z^a+2 ÷ (-8z^a-2)


-1/2z

-1/2z^2a

-1/2z^4

Respuesta :

JcAlmighty
JcAlmighty JcAlmighty
  • 25-12-2016
The answer is [tex]-\frac{ z^{4} }{2} [/tex]

[tex] \frac{4 z^{a+2} }{-8 z^{a-2} } = \frac{4}{-8} * \frac{z^{a+2} }{ z^{a-2} } =- \frac{1}{2} *\frac{z^{a+2} }{ z^{a-2} } \\ \\ \frac{x ^{a} }{ x^{b} } = x^{a-b} \\ \\ - \frac{1}{2} *\frac{z^{a+2} }{ z^{a-2} } =- \frac{1}{2} * z^{a + 2 - (a - 2)} =- \frac{1}{2} * z^{a + 2 - a + 2} =- \frac{1}{2} * z^{4} = -\frac{ z^{4} }{2} [/tex]
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