jchavis88
jchavis88 jchavis88
  • 15-05-2020
  • Mathematics
contestada

simplify the expression c^-6 * d^4/ c^-16 * d^14​

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 15-05-2020

Answer:

[tex] \dfrac{c^{10}}{d^{10}} [/tex]

Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

[tex] \dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} = [/tex]

[tex]= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}[/tex]

[tex] = c^{-6 - (-16)} \times d^{4 - 14} [/tex]

[tex] = c^{-6 + 16} \times d^{-10} [/tex]

[tex] = c^{10} \times d^{-10} [/tex]

[tex] = \dfrac{c^{10}}{d^{10}} [/tex]

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