Riješi 8000({left(1+10/4right)}^4*8

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

Procijeni

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

Koraci za rješenje

Svedite razlomak \frac{10}{4} na najprostije elemente rastavlјanjem i kraćenjem 2.

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

Saberite 1 i \frac{5}{2} da biste dobili \frac{7}{2}.

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

Pomnožite 4 i 8 da biste dobili 32.

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

Izračunajte \frac{7}{2} stepen od 32 i dobijte \frac{1104427674243920646305299201}{4294967296}.

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

Pomnožite 8000 i \frac{1104427674243920646305299201}{4294967296} da biste dobili \frac{138053459280490080788162400125}{67108864}.

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

Faktor

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