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

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

Calcular

$$\frac{138053459280490080788162400125}{67108864}=2.05715685 \cdot 10^{21}$$

Pasos da solución

Reduce a fracción \frac{10}{4} a termos máis baixos extraendo e cancelando 2.

$$8000\left(1+\frac{5}{2}\right)^{4\times 8}$$

Suma 1 e \frac{5}{2} para obter \frac{7}{2}.

$$8000\times \left(\frac{7}{2}\right)^{4\times 8}$$

Multiplica 4 e 8 para obter 32.

$$8000\times \left(\frac{7}{2}\right)^{32}$$

Calcula \frac{7}{2} á potencia de 32 e obtén \frac{1104427674243920646305299201}{4294967296}.

$$8000\times \frac{1104427674243920646305299201}{4294967296}$$

Multiplica 8000 e \frac{1104427674243920646305299201}{4294967296} para obter \frac{138053459280490080788162400125}{67108864}.

$$\frac{138053459280490080788162400125}{67108864}$$

Factorizar

$$\frac{5 ^ {3} \cdot 7 ^ {32}}{2 ^ {26}} = 2.057156850106866 \times 10^{21}$$