Resolver 11001.041^40-1/0.041

$$1100 \frac{ { 1.041 }^{ 40 } -1 }{ 0.041 }$$

Calcular

$$107026.7828584750015136756123730141309972339566039145605011242871109906976809829019581819213775683485907758737461209114771$$

Pasos da solución

Calcula 1.041 á potencia de 40 e obtén 4.989180088361340965509727370266890337169629291600451800496450701409653277200271800259507978618456629292555294173597609601.

$$1100\times \frac{4.989180088361340965509727370266890337169629291600451800496450701409653277200271800259507978618456629292555294173597609601-1}{0.041}$$

Resta 1 de 4.989180088361340965509727370266890337169629291600451800496450701409653277200271800259507978618456629292555294173597609601 para obter 3.989180088361340965509727370266890337169629291600451800496450701409653277200271800259507978618456629292555294173597609601.

$$1100\times \frac{3.989180088361340965509727370266890337169629291600451800496450701409653277200271800259507978618456629292555294173597609601}{0.041}$$

Expande \frac{3.989180088361340965509727370266890337169629291600451800496450701409653277200271800259507978618456629292555294173597609601}{0.041} multiplicando o numerador e o denominador por 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$1100\times \frac{3989180088361340965509727370266890337169629291600451800496450701409653277200271800259507978618456629292555294173597609601}{41000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce a fracción \frac{3989180088361340965509727370266890337169629291600451800496450701409653277200271800259507978618456629292555294173597609601}{41000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} a termos máis baixos extraendo e cancelando 41.

$$1100\times \frac{97297075325886365012432374884558300906576324185376873182840261009991543346348092689256292161425771446159885223746283161}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Expresa 1100\times \frac{97297075325886365012432374884558300906576324185376873182840261009991543346348092689256292161425771446159885223746283161}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} como unha única fracción.

$$\frac{1100\times 97297075325886365012432374884558300906576324185376873182840261009991543346348092689256292161425771446159885223746283161}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Multiplica 1100 e 97297075325886365012432374884558300906576324185376873182840261009991543346348092689256292161425771446159885223746283161 para obter 107026782858475001513675612373014130997233956603914560501124287110990697680982901958181921377568348590775873746120911477100.

$$\frac{107026782858475001513675612373014130997233956603914560501124287110990697680982901958181921377568348590775873746120911477100}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce a fracción \frac{107026782858475001513675612373014130997233956603914560501124287110990697680982901958181921377568348590775873746120911477100}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} a termos máis baixos extraendo e cancelando 100.

$$\frac{1070267828584750015136756123730141309972339566039145605011242871109906976809829019581819213775683485907758737461209114771}{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$