Resolver 51.1^52-1/1.1-1

$$5 \frac{ { 1.1 }^{ 52 } -1 }{ 1.1-1 }$$

Calcular

$$7052.146599221566648653323007416678356308419408727415605$$

Pasos da solución

Calcula 1.1 á potencia de 52 e obtén 142.0429319844313329730664601483335671261683881745483121.

$$5\times \frac{142.0429319844313329730664601483335671261683881745483121-1}{1.1-1}$$

Resta 1 de 142.0429319844313329730664601483335671261683881745483121 para obter 141.0429319844313329730664601483335671261683881745483121.

$$5\times \frac{141.0429319844313329730664601483335671261683881745483121}{1.1-1}$$

Resta 1 de 1.1 para obter 0.1.

$$5\times \frac{141.0429319844313329730664601483335671261683881745483121}{0.1}$$

Expande \frac{141.0429319844313329730664601483335671261683881745483121}{0.1} multiplicando o numerador e o denominador por 10000000000000000000000000000000000000000000000000000.

$$5\times \frac{1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000}$$

Expresa 5\times \frac{1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000} como unha única fracción.

$$\frac{5\times 1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000}$$

Multiplica 5 e 1410429319844313329730664601483335671261683881745483121 para obter 7052146599221566648653323007416678356308419408727415605.

$$\frac{7052146599221566648653323007416678356308419408727415605}{1000000000000000000000000000000000000000000000000000}$$

Reduce a fracción \frac{7052146599221566648653323007416678356308419408727415605}{1000000000000000000000000000000000000000000000000000} a termos máis baixos extraendo e cancelando 5.

$$\frac{1410429319844313329730664601483335671261683881745483121}{200000000000000000000000000000000000000000000000000}$$