1-(1+8%)^-25/8% eching

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

Baholash

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

Yechim qadamlari

\frac{8}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{27}{25} olish uchun 1 va \frac{2}{25}'ni qo'shing.

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

-25 daraja ko‘rsatkichini \frac{27}{25} ga hisoblang va \frac{88817841970012523233890533447265625}{608266787713357709119683992618861307} ni qiymatni oling.

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

\frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} olish uchun 1 dan \frac{88817841970012523233890533447265625}{608266787713357709119683992618861307} ni ayirish.

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

\frac{8}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} ni \frac{2}{25} ga bo'lish \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} ga k'paytirish \frac{2}{25} ga qaytarish.

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

\frac{6493111821791814823572418239644946025}{608266787713357709119683992618861307} hosil qilish uchun \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} va \frac{25}{2} ni ko'paytirish.

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

Omil

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