Resolver -3^{2}*1.2^{2}div(-0.3)^3+(-1/3)^2*(-3)^3div(-1)^25

$$- 3 ^ { 2 } \times 1.2 ^ { 2 } \div ( - 0.3 ) ^ { 3 } + ( - \frac { 1 } { 3 } ) ^ { 2 } \times ( - 3 ) ^ { 3 } \div ( - 1 ) ^ { 25 }$$

Calcular

$$483$$

Pasos da solución

Calcula 3 á potencia de 2 e obtén 9.

$$\frac{-9\times 1.2^{2}}{\left(-0.3\right)^{3}}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Calcula 1.2 á potencia de 2 e obtén 1.44.

$$\frac{-9\times 1.44}{\left(-0.3\right)^{3}}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Multiplica -9 e 1.44 para obter -12.96.

$$\frac{-12.96}{\left(-0.3\right)^{3}}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Calcula -0.3 á potencia de 3 e obtén -0.027.

$$\frac{-12.96}{-0.027}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Expande \frac{-12.96}{-0.027} multiplicando o numerador e o denominador por 1000.

$$\frac{-12960}{-27}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Divide -12960 entre -27 para obter 480.

$$480+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Calcula -\frac{1}{3} á potencia de 2 e obtén \frac{1}{9}.

$$480+\frac{\frac{1}{9}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Calcula -3 á potencia de 3 e obtén -27.

$$480+\frac{\frac{1}{9}\left(-27\right)}{\left(-1\right)^{25}}$$

Multiplica \frac{1}{9} e -27 para obter \frac{-27}{9}.

$$480+\frac{\frac{-27}{9}}{\left(-1\right)^{25}}$$

Divide -27 entre 9 para obter -3.

$$480+\frac{-3}{\left(-1\right)^{25}}$$

Calcula -1 á potencia de 25 e obtén -1.

$$480+\frac{-3}{-1}$$

A fracción \frac{-3}{-1} pode simplificarse a 3 quitando o signo negativo do numerador e do denominador.

$$480+3$$

Suma 480 e 3 para obter 483.

$$483$$

Factorizar

$$3\times 7\times 23$$