nssbroland nssbroland
  • 12-08-2017
  • Mathematics
contestada

Simplify the expression x8 y-26/x14 y-5 X x-39 y-21.

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merlynthewhizz
merlynthewhizz merlynthewhizz
  • 18-08-2017
[tex] \frac{x^8y^{-26}}{x^{14}y^{-5}}[x^{-36}y^{-21}] [/tex]

We will apply these following power rule

[tex]x^m*x^n = x^{m+n}[/tex]
[tex]x^m/x^n=x^{m-n}[/tex]

[tex][ \frac{x^8}{x^{14}}][ \frac{y^{-26}}{y^{-5}}][x^{-39}y^{-21}] [/tex]
[tex][x^{8-14}][y^{-26-5}][x^{-39}y^{-21}][/tex]
[tex]x^{-6}y^{-21}[x^{-39}y^{-21}][/tex]
[tex][x^{-6-39}][y^{-21-21}][/tex]
[tex]x^{-45}y^{-42}[/tex]
Answer Link

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