Resolver 2000{left(1+.075/2right)}^2*6

$$2000 { \left(1+ \frac{ .075 }{ 2 } \right) }^{ 2 \cdot 6 }$$

Calcular

$$3110.90866274494690617316518910229206085205078125$$

Pasos da solución

Expande \frac{0.075}{2} multiplicando o numerador e o denominador por 1000.

$$2000\left(1+\frac{75}{2000}\right)^{2\times 6}$$

Reduce a fracción \frac{75}{2000} a termos máis baixos extraendo e cancelando 25.

$$2000\left(1+\frac{3}{80}\right)^{2\times 6}$$

Suma 1 e \frac{3}{80} para obter \frac{83}{80}.

$$2000\times \left(\frac{83}{80}\right)^{2\times 6}$$

Multiplica 2 e 6 para obter 12.

$$2000\times \left(\frac{83}{80}\right)^{12}$$

Calcula \frac{83}{80} á potencia de 12 e obtén \frac{106890007738661124410161}{68719476736000000000000}.

$$2000\times \frac{106890007738661124410161}{68719476736000000000000}$$

Multiplica 2000 e \frac{106890007738661124410161}{68719476736000000000000} para obter \frac{106890007738661124410161}{34359738368000000000}.

$$\frac{106890007738661124410161}{34359738368000000000}$$

Factorizar

$$\frac{83 ^ {12}}{2 ^ {44} \cdot 5 ^ {9}} = 3110\frac{3.1221414181119984 \times 10^{19}}{3.4359738368 \times 10^{19}} = 3110.908662744947$$