Resolver 1/2+3(1/3-1)^3+4^-2

$$\frac { 1 } { 2 } + 3 ( \frac { 1 } { 3 } - 1 ) ^ { 3 } + 4 ^ { - 2 }$$

Calcular

$$-\frac{47}{144}\approx -0.326388889$$

Pasos da solución

Resta 1 de \frac{1}{3} para obter -\frac{2}{3}.

$$\frac{1}{2}+3\left(-\frac{2}{3}\right)^{3}+4^{-2}$$

Calcula -\frac{2}{3} á potencia de 3 e obtén -\frac{8}{27}.

$$\frac{1}{2}+3\left(-\frac{8}{27}\right)+4^{-2}$$

Multiplica 3 e -\frac{8}{27} para obter -\frac{8}{9}.

$$\frac{1}{2}-\frac{8}{9}+4^{-2}$$

Resta \frac{8}{9} de \frac{1}{2} para obter -\frac{7}{18}.

$$-\frac{7}{18}+4^{-2}$$

Calcula 4 á potencia de -2 e obtén \frac{1}{16}.

$$-\frac{7}{18}+\frac{1}{16}$$

Suma -\frac{7}{18} e \frac{1}{16} para obter -\frac{47}{144}.

$$-\frac{47}{144}$$

Factorizar

$$-\frac{47}{144} = -0.3263888888888889$$