Resposta:
Resposta (A)
Explicação passo a passo:
Considerando que:
0,333... = 1/3
2⁻¹ = 1/2
(16/9)¹/² = √(16/9) = 4/3
0,5² = (1/2)²
Então
[tex]\frac{\frac{1}{3} + \frac{1}{2} . \sqrt{\frac{16}{9}}}{(\frac{1}{2}^{2} - \frac{1}{2})^{-1}}[/tex]
[tex]\frac{\frac{1}{3} + \frac{1}{2} . \frac{4}{3}}{(\frac{1}{4} - \frac{1}{2})^{-1}}[/tex]
[tex]\frac{\frac{1}{3} + \frac{2}{3}}{(\frac{-1}{4})^{-1}}[/tex]
[tex]\frac{\frac{3}{3}}{({-4})}[/tex]
[tex]\frac{1}{-4} = \frac{-1}{4}[/tex]
