3^7+3^8/3^10+3^4 eching

$$\frac { 3 ^ { 7 } + 3 ^ { 8 } } { 3 ^ { 10 } + 3 ^ { 4 } }$$

Baholash

$$\frac{54}{365}\approx 0,147945205$$

Yechim qadamlari

7 daraja ko‘rsatkichini 3 ga hisoblang va 2187 ni qiymatni oling.

$$\frac{2187+3^{8}}{3^{10}+3^{4}}$$

8 daraja ko‘rsatkichini 3 ga hisoblang va 6561 ni qiymatni oling.

$$\frac{2187+6561}{3^{10}+3^{4}}$$

8748 olish uchun 2187 va 6561'ni qo'shing.

$$\frac{8748}{3^{10}+3^{4}}$$

10 daraja ko‘rsatkichini 3 ga hisoblang va 59049 ni qiymatni oling.

$$\frac{8748}{59049+3^{4}}$$

4 daraja ko‘rsatkichini 3 ga hisoblang va 81 ni qiymatni oling.

$$\frac{8748}{59049+81}$$

59130 olish uchun 59049 va 81'ni qo'shing.

$$\frac{8748}{59130}$$

\frac{8748}{59130} ulushini 162 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{54}{365}$$

Omil

$$\frac{2 \cdot 3 ^ {3}}{5 \cdot 73} = 0,14794520547945206$$