Resolver {l}{(-6+2)^{3}-80:(-12-4)+(-2)^{76}:(-2)^{7}}{-6^{2}-24:[3^{8^{2}}:(-3^9)^7+(-9)^23:(-3*3^43)]}

$$\left. \begin{array} { l } { ( - 6 + 2 ) ^ { 3 } - 80 : ( - 12 - 4 ) + ( - 2 ) ^ { 76 } : ( - 2 ) ^ { 7 } } \\ { - 6 ^ { 2 } - 24 : [ 3 ^ { 8 ^ { 2 } } : ( - 3 ^ { 9 } ) ^ { 7 } + ( - 9 ) ^ { 23 } : ( - 3 \cdot 3 ^ { 43 } ) ] } \end{array} \right.$$

Calcular

$$-590295810358705651811$$

Pasos da solución

Para dividir potencias da mesma base, resta o expoñente do denominador do expoñente do numerador. Resta 7 de 76 para obter 69.

$$\left(-6+2\right)^{3}-\frac{80}{-12-4}+\left(-2\right)^{69}-6^{2}-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Suma -6 e 2 para obter -4.

$$\left(-4\right)^{3}-\frac{80}{-12-4}+\left(-2\right)^{69}-6^{2}-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

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

$$-64-\frac{80}{-12-4}+\left(-2\right)^{69}-6^{2}-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Resta 4 de -12 para obter -16.

$$-64-\frac{80}{-16}+\left(-2\right)^{69}-6^{2}-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Divide 80 entre -16 para obter -5.

$$-64-\left(-5\right)+\left(-2\right)^{69}-6^{2}-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

O contrario de -5 é 5.

$$-64+5+\left(-2\right)^{69}-6^{2}-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Suma -64 e 5 para obter -59.

$$-59+\left(-2\right)^{69}-6^{2}-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Calcula -2 á potencia de 69 e obtén -590295810358705651712.

$$-59-590295810358705651712-6^{2}-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Resta 590295810358705651712 de -59 para obter -590295810358705651771.

$$-590295810358705651771-6^{2}-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Calcula 6 á potencia de 2 e obtén 36.

$$-590295810358705651771-36-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Resta 36 de -590295810358705651771 para obter -590295810358705651807.

$$-590295810358705651807-\frac{24}{\frac{3^{8^{2}}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Calcula 8 á potencia de 2 e obtén 64.

$$-590295810358705651807-\frac{24}{\frac{3^{64}}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Calcula 3 á potencia de 64 e obtén 3433683820292512484657849089281.

$$-590295810358705651807-\frac{24}{\frac{3433683820292512484657849089281}{\left(-3^{9}\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Calcula 3 á potencia de 9 e obtén 19683.

$$-590295810358705651807-\frac{24}{\frac{3433683820292512484657849089281}{\left(-19683\right)^{7}}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Calcula -19683 á potencia de 7 e obtén -1144561273430837494885949696427.

$$-590295810358705651807-\frac{24}{\frac{3433683820292512484657849089281}{-1144561273430837494885949696427}+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Divide 3433683820292512484657849089281 entre -1144561273430837494885949696427 para obter -3.

$$-590295810358705651807-\frac{24}{-3+\frac{\left(-9\right)^{23}}{-3\times 3^{43}}}$$

Calcula -9 á potencia de 23 e obtén -8862938119652501095929.

$$-590295810358705651807-\frac{24}{-3+\frac{-8862938119652501095929}{-3\times 3^{43}}}$$

Calcula 3 á potencia de 43 e obtén 328256967394537077627.

$$-590295810358705651807-\frac{24}{-3+\frac{-8862938119652501095929}{-3\times 328256967394537077627}}$$

Multiplica -3 e 328256967394537077627 para obter -984770902183611232881.

$$-590295810358705651807-\frac{24}{-3+\frac{-8862938119652501095929}{-984770902183611232881}}$$

Divide -8862938119652501095929 entre -984770902183611232881 para obter 9.

$$-590295810358705651807-\frac{24}{-3+9}$$

Suma -3 e 9 para obter 6.

$$-590295810358705651807-\frac{24}{6}$$

Divide 24 entre 6 para obter 4.

$$-590295810358705651807-4$$

Resta 4 de -590295810358705651807 para obter -590295810358705651811.

$$-590295810358705651811$$

Factorizar

$$-590295810358705651811$$