Resolver {left(1/3right)}^2+-2^-1+{left(1/2right)}^-1

$${ \left( \frac{ 1 }{ 3 } \right) }^{ 2 } + { -2 }^{ -1 } + { \left( \frac{ 1 }{ 2 } \right) }^{ -1 }$$

Avaliar

$$\frac{29}{18}\approx 1,611111111$$

Passos Para a Resolução

Calcule \frac{1}{3} elevado a 2 e obtenha \frac{1}{9}.

$$\frac{1}{9}+\left(-2\right)^{-1}+\left(\frac{1}{2}\right)^{-1}$$

Calcule -2 elevado a -1 e obtenha -\frac{1}{2}.

$$\frac{1}{9}-\frac{1}{2}+\left(\frac{1}{2}\right)^{-1}$$

Subtraia \frac{1}{2} de \frac{1}{9} para obter -\frac{7}{18}.

$$-\frac{7}{18}+\left(\frac{1}{2}\right)^{-1}$$

Calcule \frac{1}{2} elevado a -1 e obtenha 2.

$$-\frac{7}{18}+2$$

Some -\frac{7}{18} e 2 para obter \frac{29}{18}.

$$\frac{29}{18}$$

Fatorizar

$$\frac{29}{2 \cdot 3 ^ {2}} = 1\frac{11}{18} = 1,6111111111111112$$