Resolver 8000({left(1+.10/4right)}^4*8

$$8000( { \left(1+ \frac{ .10 }{ 4 } \right) }^{ 4 \times 8 }$$

Calcular

$$17630.055502182457021287162311143369465069400673479242842855985173855515313334763050079345703125$$

Pasos da solución

Expande \frac{0.1}{4} multiplicando o numerador e o denominador por 10.

$$8000\left(1+\frac{1}{40}\right)^{4\times 8}$$

Suma 1 e \frac{1}{40} para obter \frac{41}{40}.

$$8000\times \left(\frac{41}{40}\right)^{4\times 8}$$

Multiplica 4 e 8 para obter 32.

$$8000\times \left(\frac{41}{40}\right)^{32}$$

Calcula \frac{41}{40} á potencia de 32 e obtén \frac{4065214023175683899921868126254722311886802750234881}{1844674407370955161600000000000000000000000000000000}.

$$8000\times \frac{4065214023175683899921868126254722311886802750234881}{1844674407370955161600000000000000000000000000000000}$$

Multiplica 8000 e \frac{4065214023175683899921868126254722311886802750234881}{1844674407370955161600000000000000000000000000000000} para obter \frac{4065214023175683899921868126254722311886802750234881}{230584300921369395200000000000000000000000000000}.

$$\frac{4065214023175683899921868126254722311886802750234881}{230584300921369395200000000000000000000000000000}$$

Factorizar

$$\frac{41 ^ {32}}{2 ^ {90} \cdot 5 ^ {29}} = 17630\frac{1.2797931941781906 \times 10^{46}}{2.3058430092136937 \times 10^{47}} = 17630.05550218246$$