Resolver sqrt{sqrt{9}+-1^2}+sqrt[3]{-8}*sqrt{121}+(5+-2^4*-1)div-7

$$\sqrt{ \sqrt{ 9 } + { -1 }^{ 2 } } + \sqrt[3]{ -8 } \times \sqrt{ 121 } +(5+ { -2 }^{ 4 } \times -1) \div -7$$

Calcular

$$-\frac{129}{7}\approx -18.428571429$$

Pasos da solución

Calcular a raíz cadrada de 9 e obter 3.

$$\sqrt{3+\left(-1\right)^{2}}+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Calcula -1 á potencia de 2 e obtén 1.

$$\sqrt{3+1}+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Suma 3 e 1 para obter 4.

$$\sqrt{4}+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Calcular a raíz cadrada de 4 e obter 2.

$$2+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Calcular \sqrt[3]{-8} e obter -2.

$$2-2\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Calcular a raíz cadrada de 121 e obter 11.

$$2-2\times 11+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Multiplica -2 e 11 para obter -22.

$$2-22+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Resta 22 de 2 para obter -20.

$$-20+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

Calcula -2 á potencia de 4 e obtén 16.

$$-20+\frac{5+16\left(-1\right)}{-7}$$

Multiplica 16 e -1 para obter -16.

$$-20+\frac{5-16}{-7}$$

Resta 16 de 5 para obter -11.

$$-20+\frac{-11}{-7}$$

A fracción \frac{-11}{-7} pode simplificarse a \frac{11}{7} quitando o signo negativo do numerador e do denominador.

$$-20+\frac{11}{7}$$

Suma -20 e \frac{11}{7} para obter -\frac{129}{7}.

$$-\frac{129}{7}$$

Factorizar

$$-\frac{129}{7} = -18\frac{3}{7} = -18.428571428571427$$