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\frac{1}{3}-\left(\frac{\left(\frac{1}{3}\right)^{2}}{\left(\frac{1}{2}\right)^{2}}\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}
Reescribe a raíz cadrada da división \frac{1}{9} como a división de raíces cadradas \frac{\sqrt{1}}{\sqrt{9}}. Obtén a raíz cadrada do numerador e o denominador.
\frac{1}{3}-\left(\frac{\frac{1}{9}}{\left(\frac{1}{2}\right)^{2}}\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}
Calcula \frac{1}{3} á potencia de 2 e obtén \frac{1}{9}.
\frac{1}{3}-\left(\frac{\frac{1}{9}}{\frac{1}{4}}\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}
Calcula \frac{1}{2} á potencia de 2 e obtén \frac{1}{4}.
\frac{1}{3}-\left(\frac{1}{9}\times 4\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}
Divide \frac{1}{9} entre \frac{1}{4} mediante a multiplicación de \frac{1}{9} polo recíproco de \frac{1}{4}.
\frac{1}{3}-\left(\frac{4}{9}\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}
Multiplica \frac{1}{9} e 4 para obter \frac{4}{9}.
\frac{1}{3}-\left(\frac{2}{3}-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}
Multiplica \frac{4}{9} e 1.5 para obter \frac{2}{3}.
\frac{1}{3}-\left(\frac{2}{3}-\left(0.5+\frac{6+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}
Multiplica 2 e 3 para obter 6.
\frac{1}{3}-\left(\frac{2}{3}-\left(0.5+\frac{8}{3}\right)+0.5\right)^{3}+\frac{2}{3}
Suma 6 e 2 para obter 8.
\frac{1}{3}-\left(\frac{2}{3}-\frac{19}{6}+0.5\right)^{3}+\frac{2}{3}
Suma 0.5 e \frac{8}{3} para obter \frac{19}{6}.
\frac{1}{3}-\left(-\frac{5}{2}+0.5\right)^{3}+\frac{2}{3}
Resta \frac{19}{6} de \frac{2}{3} para obter -\frac{5}{2}.
\frac{1}{3}-\left(-2\right)^{3}+\frac{2}{3}
Suma -\frac{5}{2} e 0.5 para obter -2.
\frac{1}{3}-\left(-8\right)+\frac{2}{3}
Calcula -2 á potencia de 3 e obtén -8.
\frac{1}{3}+8+\frac{2}{3}
O contrario de -8 é 8.
\frac{25}{3}+\frac{2}{3}
Suma \frac{1}{3} e 8 para obter \frac{25}{3}.
9
Suma \frac{25}{3} e \frac{2}{3} para obter 9.