(53)^4+4*(49)^4/(53)^2+2(49)^2+5194=? eching

$$\frac { ( 53 ) ^ { 4 } + 4 * ( 49 ) ^ { 4 } } { ( 53 ) ^ { 2 } + 2 ( 49 ) ^ { 2 } + 5194 } = ?$$

Baholash

$$2417$$

Yechim qadamlari

4 daraja ko‘rsatkichini 53 ga hisoblang va 7890481 ni qiymatni oling.

$$\frac{7890481+4\times 49^{4}}{53^{2}+2\times 49^{2}+5194}$$

4 daraja ko‘rsatkichini 49 ga hisoblang va 5764801 ni qiymatni oling.

$$\frac{7890481+4\times 5764801}{53^{2}+2\times 49^{2}+5194}$$

23059204 hosil qilish uchun 4 va 5764801 ni ko'paytirish.

$$\frac{7890481+23059204}{53^{2}+2\times 49^{2}+5194}$$

30949685 olish uchun 7890481 va 23059204'ni qo'shing.

$$\frac{30949685}{53^{2}+2\times 49^{2}+5194}$$

2 daraja ko‘rsatkichini 53 ga hisoblang va 2809 ni qiymatni oling.

$$\frac{30949685}{2809+2\times 49^{2}+5194}$$

2 daraja ko‘rsatkichini 49 ga hisoblang va 2401 ni qiymatni oling.

$$\frac{30949685}{2809+2\times 2401+5194}$$

4802 hosil qilish uchun 2 va 2401 ni ko'paytirish.

$$\frac{30949685}{2809+4802+5194}$$

7611 olish uchun 2809 va 4802'ni qo'shing.

$$\frac{30949685}{7611+5194}$$

12805 olish uchun 7611 va 5194'ni qo'shing.

$$\frac{30949685}{12805}$$

2417 ni olish uchun 30949685 ni 12805 ga bo‘ling.

$$2417$$

Omil

$$2417$$