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

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

Avaliar

$$\frac{138053459280490080788162400125}{67108864}=2,05715685 \cdot 10^{21}$$

Passos Para a Resolução

Reduza a fração \frac{10}{4} para os termos mais baixos ao retirar e anular 2.

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

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

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

Multiplique 4 e 8 para obter 32.

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

Calcule \frac{7}{2} elevado a 32 e obtenha \frac{1104427674243920646305299201}{4294967296}.

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

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

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

Fatorizar

$$\frac{5 ^ {3} \cdot 7 ^ {32}}{2 ^ {26}} = 2,057156850106866 \times 10^{21}$$