lishalarrickougdzr
lishalarrickougdzr lishalarrickougdzr
  • 03-02-2019
  • Mathematics
contestada

For what value of (y) is 3^3/3^y =1/9

Respuesta :

Tsarina
Tsarina Tsarina
  • 04-02-2019

[tex] \frac{ {(3)}^{3} }{ {(3)}^{y} } = \frac{1}{ {3}^{2} } \\ \\ {3}^{(3 - y)} = {3}^{ - 2} [/tex]

As bases are same,
exponents will be same too,

[tex]3 - y = - 2 \\ - y = - 5 \\ y = 5[/tex]


Therefore, y must be equal to 5.
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