Question

Se A= (9-¹.3-³)-¹.(-1/3)elevado a 4ª potencia, qual o valor de a? (por favor coloque o cálculo)

Answer 1

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:

 

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