3^8+3^6/3^9-3^7= eching

$$\frac { 3 ^ { 8 } + 3 ^ { 6 } } { 3 ^ { 9 } - 3 ^ { 7 } } =$$

Baholash

$$\frac{5}{12}\approx 0,416666667$$

Yechim qadamlari

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

$$\frac{6561+3^{6}}{3^{9}-3^{7}}$$

6 daraja ko‘rsatkichini 3 ga hisoblang va 729 ni qiymatni oling.

$$\frac{6561+729}{3^{9}-3^{7}}$$

7290 olish uchun 6561 va 729'ni qo'shing.

$$\frac{7290}{3^{9}-3^{7}}$$

9 daraja ko‘rsatkichini 3 ga hisoblang va 19683 ni qiymatni oling.

$$\frac{7290}{19683-3^{7}}$$

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

$$\frac{7290}{19683-2187}$$

17496 olish uchun 19683 dan 2187 ni ayirish.

$$\frac{7290}{17496}$$

\frac{7290}{17496} ulushini 1458 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{12}$$

Omil

$$\frac{5}{2 ^ {2} \cdot 3} = 0,4166666666666667$$