Riješi 1-(1+8%)^-25/8%

$$\frac { 1 - ( 1 + 8 \% ) ^ { - 25 } } { 8 \% }$$

Procijeni

$$\frac{6493111821791814823572418239644946025}{608266787713357709119683992618861307}\approx 10,674776189$$

Koraci za rješenje

Svedite razlomak \frac{8}{100} na najprostije elemente rastavlјanjem i kraćenjem 4.

$$\frac{1-\left(1+\frac{2}{25}\right)^{-25}}{\frac{8}{100}}$$

Saberite 1 i \frac{2}{25} da biste dobili \frac{27}{25}.

$$\frac{1-\left(\frac{27}{25}\right)^{-25}}{\frac{8}{100}}$$

Izračunajte \frac{27}{25} stepen od -25 i dobijte \frac{88817841970012523233890533447265625}{608266787713357709119683992618861307}.

$$\frac{1-\frac{88817841970012523233890533447265625}{608266787713357709119683992618861307}}{\frac{8}{100}}$$

Oduzmite \frac{88817841970012523233890533447265625}{608266787713357709119683992618861307} od 1 da biste dobili \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307}.

$$\frac{\frac{519448945743345185885793459171595682}{608266787713357709119683992618861307}}{\frac{8}{100}}$$

Svedite razlomak \frac{8}{100} na najprostije elemente rastavlјanjem i kraćenjem 4.

$$\frac{\frac{519448945743345185885793459171595682}{608266787713357709119683992618861307}}{\frac{2}{25}}$$

Podijelite \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} sa \frac{2}{25} tako što ćete pomnožiti \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} recipročnom vrijednošću od \frac{2}{25}.

$$\frac{519448945743345185885793459171595682}{608266787713357709119683992618861307}\times \frac{25}{2}$$

Pomnožite \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} i \frac{25}{2} da biste dobili \frac{6493111821791814823572418239644946025}{608266787713357709119683992618861307}.

$$\frac{6493111821791814823572418239644946025}{608266787713357709119683992618861307}$$

Faktor

$$\frac{5 ^ {2} \cdot 11 \cdot 181 \cdot 1151 \cdot 5101 \cdot 22218307154177879570243101}{3 ^ {75}} = 10\frac{4,104439446582371 \times 10^{35}}{6,082667877133578 \times 10^{35}} = 10,674776188588577$$