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  • 04-02-2020
  • Mathematics
contestada

(3)-2
Evaluate exponent

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 05-02-2020

Answer:

[tex] 3^{-2} = \dfrac{1}{9} [/tex]

Step-by-step explanation:

Definition of negative exponent:

[tex] a^{-n} = \dfrac{1}{a^n} [/tex]

In our case, a = 3 and -n = -2.

[tex] 3^{-2} = \dfrac{1}{3^2} [/tex]

Now we just evaluate the power in the denominator.

[tex] 3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9} [/tex]

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