Resolver (1.092)^13/0.042-1

$$\frac { ( 1.092 ) ^ { 13 } } { 0.042 } - 1$$

Calcular

$$73.755819784880355908755899389875060736$$

Pasos da solución

Calcula 1.092 á potencia de 13 e obtén 3.139744430964974948167747774374752550912.

$$\frac{3.139744430964974948167747774374752550912}{0.042}-1$$

Expande \frac{3.139744430964974948167747774374752550912}{0.042} multiplicando o numerador e o denominador por 1000000000000000000000000000000000000000.

$$\frac{3139744430964974948167747774374752550912}{42000000000000000000000000000000000000}-1$$

Reduce a fracción \frac{3139744430964974948167747774374752550912}{42000000000000000000000000000000000000} a termos máis baixos extraendo e cancelando 1409286144.

$$\frac{2227897041585456010960218292173}{29802322387695312500000000000}-1$$

Converter 1 á fracción \frac{29802322387695312500000000000}{29802322387695312500000000000}.

$$\frac{2227897041585456010960218292173}{29802322387695312500000000000}-\frac{29802322387695312500000000000}{29802322387695312500000000000}$$

Dado que \frac{2227897041585456010960218292173}{29802322387695312500000000000} e \frac{29802322387695312500000000000}{29802322387695312500000000000} teñen o mesmo denominador, réstaos mediante a resta dos seus numeradores.

$$\frac{2227897041585456010960218292173-29802322387695312500000000000}{29802322387695312500000000000}$$

Resta 29802322387695312500000000000 de 2227897041585456010960218292173 para obter 2198094719197760698460218292173.

$$\frac{2198094719197760698460218292173}{29802322387695312500000000000}$$

Factorizar

$$\frac{37 \cdot 10487 \cdot 5664915169612211511447167}{2 ^ {11} \cdot 5 ^ {36}} = 73\frac{2.252518489600294 \times 10^{28}}{2.9802322387695317 \times 10^{28}} = 73.75581978488036$$