[(3*5-7*2)^5+2^4:2]^3:9^2 eching

$$[ ( 3 \cdot 5 - 7 \cdot 2 ) ^ { 5 } + 2 ^ { 4 } : 2 ] ^ { 3 } : 9 ^ { 2 }$$

Baholash

$$9$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 4 dan 1 ni ayirib, 3 ni oling.

$$\frac{\left(\left(3\times 5-7\times 2\right)^{5}+2^{3}\right)^{3}}{9^{2}}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{\left(\left(15-7\times 2\right)^{5}+2^{3}\right)^{3}}{9^{2}}$$

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$\frac{\left(\left(15-14\right)^{5}+2^{3}\right)^{3}}{9^{2}}$$

1 olish uchun 15 dan 14 ni ayirish.

$$\frac{\left(1^{5}+2^{3}\right)^{3}}{9^{2}}$$

5 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{\left(1+2^{3}\right)^{3}}{9^{2}}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\frac{\left(1+8\right)^{3}}{9^{2}}$$

9 olish uchun 1 va 8'ni qo'shing.

$$\frac{9^{3}}{9^{2}}$$

3 daraja ko‘rsatkichini 9 ga hisoblang va 729 ni qiymatni oling.

$$\frac{729}{9^{2}}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$\frac{729}{81}$$

9 ni olish uchun 729 ni 81 ga bo‘ling.

$$9$$

Omil

$$3^{2}$$