Resolver (-2)^3*sqrt{(-4)^2}+sqrt[3]{(-4)^3}*(-1/2)^2-sqrt[3]{21}

$$( - 2 ) ^ { 3 } \times \sqrt { ( - 4 ) ^ { 2 } } + \sqrt[ 3 ] { ( - 4 ) ^ { 3 } } \times ( - \frac { 1 } { 2 } ) ^ { 2 } - \sqrt[ 3 ] { 21 }$$

Calcular

$$-\sqrt[3]{21}-33\approx -35.758924176$$

Pasos da solución

Calcula -2 á potencia de 3 e obtén -8.

$$-8\sqrt{\left(-4\right)^{2}}+\sqrt[3]{\left(-4\right)^{3}}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

Calcula -4 á potencia de 2 e obtén 16.

$$-8\sqrt{16}+\sqrt[3]{\left(-4\right)^{3}}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

Calcular a raíz cadrada de 16 e obter 4.

$$-8\times 4+\sqrt[3]{\left(-4\right)^{3}}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

Multiplica -8 e 4 para obter -32.

$$-32+\sqrt[3]{\left(-4\right)^{3}}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

Calcula -4 á potencia de 3 e obtén -64.

$$-32+\sqrt[3]{-64}\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

Calcular \sqrt[3]{-64} e obter -4.

$$-32-4\left(-\frac{1}{2}\right)^{2}-\sqrt[3]{21}$$

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

$$-32-4\times \frac{1}{4}-\sqrt[3]{21}$$

Multiplica -4 e \frac{1}{4} para obter -1.

$$-32-1-\sqrt[3]{21}$$

Resta 1 de -32 para obter -33.

$$-33-\sqrt[3]{21}$$

Factorizar

$$-\sqrt[3]{21}-33$$