Solucionar 200000*(1+7%)^5-1/7%=

$$200000 \times \frac { ( 1 + 7 \% ) ^ { 5 } - 1 } { 7 \% } =$$

Calcular

$$\frac{575073901}{500}=1150147,802$$

Pasos de la solución

Suma 1 y \frac{7}{100} para obtener \frac{107}{100}.

$$200000\times \frac{\left(\frac{107}{100}\right)^{5}-1}{\frac{7}{100}}$$

Calcula \frac{107}{100} a la potencia de 5 y obtiene \frac{14025517307}{10000000000}.

$$200000\times \frac{\frac{14025517307}{10000000000}-1}{\frac{7}{100}}$$

Resta 1 de \frac{14025517307}{10000000000} para obtener \frac{4025517307}{10000000000}.

$$200000\times \frac{\frac{4025517307}{10000000000}}{\frac{7}{100}}$$

Divide \frac{4025517307}{10000000000} por \frac{7}{100} al multiplicar \frac{4025517307}{10000000000} por el recíproco de \frac{7}{100}.

$$200000\times \frac{4025517307}{10000000000}\times \frac{100}{7}$$

Multiplica \frac{4025517307}{10000000000} y \frac{100}{7} para obtener \frac{575073901}{100000000}.

$$200000\times \frac{575073901}{100000000}$$

Multiplica 200000 y \frac{575073901}{100000000} para obtener \frac{575073901}{500}.

$$\frac{575073901}{500}$$

Factorizar

$$\frac{31 \cdot 61 \cdot 101 \cdot 3011}{2 ^ {2} \cdot 5 ^ {3}} = 1150147\frac{401}{500} = 1150147,802$$