(69)^18/2536+3995^3 eching

$$\frac { ( 69 ) ^ { 18 } } { 2536 + 399 } 5 ^ { 3 }$$

Baholash

$$\frac{31421263297535300736687011746511025}{587}\approx 5,352855758 \cdot 10^{31}$$

Yechim qadamlari

18 daraja ko‘rsatkichini 69 ga hisoblang va 1256850531901412029467480469860441 ni qiymatni oling.

$$\frac{1256850531901412029467480469860441}{2536+399}\times 5^{3}$$

2935 olish uchun 2536 va 399'ni qo'shing.

$$\frac{1256850531901412029467480469860441}{2935}\times 5^{3}$$

3 daraja ko‘rsatkichini 5 ga hisoblang va 125 ni qiymatni oling.

$$\frac{1256850531901412029467480469860441}{2935}\times 125$$

\frac{1256850531901412029467480469860441}{2935}\times 125 ni yagona kasrga aylantiring.

$$\frac{1256850531901412029467480469860441\times 125}{2935}$$

157106316487676503683435058732555125 hosil qilish uchun 1256850531901412029467480469860441 va 125 ni ko'paytirish.

$$\frac{157106316487676503683435058732555125}{2935}$$

\frac{157106316487676503683435058732555125}{2935} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{31421263297535300736687011746511025}{587}$$

Omil

$$\frac{3 ^ {18} \cdot 5 ^ {2} \cdot 23 ^ {18}}{587} = 5,3528557576721125 \times 10^{31}\frac{551}{587} = 5,3528557576721125 \times 10^{31}$$