Respostas

  • Usuário do Brainly
2013-05-31T11:23:53-03:00

Temos que:

 

\text{A}=(9^{-1}\times3^{-3})^{-1}\cdot(\let(-\frac{1}{3}\right)^4

 

Observe que:

 

(9^{-1}\times3^{-3})^{-1}=\left\dfrac{1}{9}\times\dfrac{1}{27}\right)^{-1}=\left(\dfrac{1}{243}\right)^{-1}=\dfrac{243}{1}=243

 

E:

 

\left(-\dfrac{1}{3}\right)^4=\dfrac{(-1)^4}{3^4}=\dfrac{1}{81}

 

Logo:

 

\text{A}=243+\dfrac{1}{81}=\dfrac{19~684}{81}