75000div11(1-(1div(111^6))) eching

$$75000 \div 11(1-(1 \div ( { 111 }^{ 6 } )))$$

Baholash

$$\frac{4250942164000000}{623471517387}\approx 6818,181818178$$

Yechim qadamlari

6 daraja ko‘rsatkichini 111 ga hisoblang va 1870414552161 ni qiymatni oling.

$$\frac{75000}{11}\left(1-\frac{1}{1870414552161}\right)$$

1 ni \frac{1870414552161}{1870414552161} kasrga o‘giring.

$$\frac{75000}{11}\left(\frac{1870414552161}{1870414552161}-\frac{1}{1870414552161}\right)$$

\frac{1870414552161}{1870414552161} va \frac{1}{1870414552161} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{75000}{11}\times \frac{1870414552161-1}{1870414552161}$$

1870414552160 olish uchun 1870414552161 dan 1 ni ayirish.

$$\frac{75000}{11}\times \frac{1870414552160}{1870414552161}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{75000}{11} ni \frac{1870414552160}{1870414552161} ga ko‘paytiring.

$$\frac{75000\times 1870414552160}{11\times 1870414552161}$$

\frac{75000\times 1870414552160}{11\times 1870414552161} kasridagi ko‘paytirishlarni bajaring.

$$\frac{140281091412000000}{20574560073771}$$

\frac{140281091412000000}{20574560073771} ulushini 33 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4250942164000000}{623471517387}$$

Omil

$$\frac{2 ^ {8} \cdot 5 ^ {6} \cdot 7 \cdot 12211 \cdot 12433}{3 ^ {5} \cdot 37 ^ {6}} = 6818\frac{113358455434}{623471517387} = 6818,181818178173$$