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

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

Baholash

$$3$$

Yechim qadamlari

2 daraja ko‘rsatkichini 7 ga hisoblang va 49 ni qiymatni oling.

$$\frac{\frac{49+5\times 2^{3}-5^{2}}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

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

$$\frac{\frac{49+5\times 8-5^{2}}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

40 hosil qilish uchun 5 va 8 ni ko'paytirish.

$$\frac{\frac{49+40-5^{2}}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

89 olish uchun 49 va 40'ni qo'shing.

$$\frac{\frac{89-5^{2}}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{\frac{89-25}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

64 olish uchun 89 dan 25 ni ayirish.

$$\frac{\frac{64}{2^{4}}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\frac{\frac{64}{16}+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

4 ni olish uchun 64 ni 16 ga bo‘ling.

$$\frac{4+\frac{\left(4^{2}-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{4+\frac{\left(16-2^{2}\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{4+\frac{\left(16-4\times 3\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$\frac{4+\frac{\left(16-12\right)^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

4 olish uchun 16 dan 12 ni ayirish.

$$\frac{4+\frac{4^{4}}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

4 daraja ko‘rsatkichini 4 ga hisoblang va 256 ni qiymatni oling.

$$\frac{4+\frac{256}{4^{2}}-3\times 2^{2}}{2^{3}}+2$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{4+\frac{256}{16}-3\times 2^{2}}{2^{3}}+2$$

16 ni olish uchun 256 ni 16 ga bo‘ling.

$$\frac{4+16-3\times 2^{2}}{2^{3}}+2$$

20 olish uchun 4 va 16'ni qo'shing.

$$\frac{20-3\times 2^{2}}{2^{3}}+2$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$\frac{20-3\times 4}{2^{3}}+2$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$\frac{20-12}{2^{3}}+2$$

8 olish uchun 20 dan 12 ni ayirish.

$$\frac{8}{2^{3}}+2$$

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

$$\frac{8}{8}+2$$

1 ni olish uchun 8 ni 8 ga bo‘ling.

$$1+2$$

3 olish uchun 1 va 2'ni qo'shing.

$$3$$

Omil

$$3$$