Resolver (5*0.1*10*1.1^5)div(1.1^5-1)=

$$(5 \times 0.1 \times 10 \times { 1.1 }^{ 5 } ) \div ( { 1.1 }^{ 5 } -1)=$$

Calcular

$$\frac{805255}{61051}\approx 13.18987404$$

Pasos da solución

Multiplica 5 e 0.1 para obter 0.5.

$$\frac{0.5\times 10\times 1.1^{5}}{1.1^{5}-1}$$

Multiplica 0.5 e 10 para obter 5.

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

Calcula 1.1 á potencia de 5 e obtén 1.61051.

$$\frac{5\times 1.61051}{1.1^{5}-1}$$

Multiplica 5 e 1.61051 para obter 8.05255.

$$\frac{8.05255}{1.1^{5}-1}$$

Calcula 1.1 á potencia de 5 e obtén 1.61051.

$$\frac{8.05255}{1.61051-1}$$

Resta 1 de 1.61051 para obter 0.61051.

$$\frac{8.05255}{0.61051}$$

Expande \frac{8.05255}{0.61051} multiplicando o numerador e o denominador por 100000.

$$\frac{805255}{61051}$$

Factorizar

$$\frac{5 \cdot 11 ^ {5}}{61051} = 13\frac{11592}{61051} = 13.18987403973727$$