Resolver -48-121^{2}-[(-29)div(-11)]^{2}-[(-2)^{2}]^3+(-3^0)^10-[2(-5)]^2

$$- 48 - 121 ^ { 2 } - [ ( - 29 ) \div ( - 11 ) ] ^ { 2 } - [ ( - 2 ) ^ { 2 } ] ^ { 3 } + ( - 3 ^ { 0 } ) ^ { 10 } - [ 2 ( - 5 ) ] ^ { 2 }$$

Calcular

$$-\frac{1797933}{121}\approx -14858.950413223$$

Pasos da solución

Para elevar unha potencia a outra potencia, multiplica os expoñentes. Multiplica 2 e 3 para obter 6.

$$-48-121^{2}-\left(\frac{-29}{-11}\right)^{2}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calcula 121 á potencia de 2 e obtén 14641.

$$-48-14641-\left(\frac{-29}{-11}\right)^{2}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Resta 14641 de -48 para obter -14689.

$$-14689-\left(\frac{-29}{-11}\right)^{2}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

A fracción \frac{-29}{-11} pode simplificarse a \frac{29}{11} quitando o signo negativo do numerador e do denominador.

$$-14689-\left(\frac{29}{11}\right)^{2}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calcula \frac{29}{11} á potencia de 2 e obtén \frac{841}{121}.

$$-14689-\frac{841}{121}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Resta \frac{841}{121} de -14689 para obter -\frac{1778210}{121}.

$$-\frac{1778210}{121}-\left(-2\right)^{6}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calcula -2 á potencia de 6 e obtén 64.

$$-\frac{1778210}{121}-64+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Resta 64 de -\frac{1778210}{121} para obter -\frac{1785954}{121}.

$$-\frac{1785954}{121}+\left(-3^{0}\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calcula 3 á potencia de 0 e obtén 1.

$$-\frac{1785954}{121}+\left(-1\right)^{10}-\left(2\left(-5\right)\right)^{2}$$

Calcula -1 á potencia de 10 e obtén 1.

$$-\frac{1785954}{121}+1-\left(2\left(-5\right)\right)^{2}$$

Suma -\frac{1785954}{121} e 1 para obter -\frac{1785833}{121}.

$$-\frac{1785833}{121}-\left(2\left(-5\right)\right)^{2}$$

Multiplica 2 e -5 para obter -10.

$$-\frac{1785833}{121}-\left(-10\right)^{2}$$

Calcula -10 á potencia de 2 e obtén 100.

$$-\frac{1785833}{121}-100$$

Resta 100 de -\frac{1785833}{121} para obter -\frac{1797933}{121}.

$$-\frac{1797933}{121}$$

Factorizar

$$-\frac{1797933}{121} = -14858\frac{115}{121} = -14858.950413223141$$