{5^{3}*3^{2}-2^{3}*[(6^{2}+6^{2}*15):2^{3}+3^2*17-6*(2^2*14-12^2:3^2*2)]}:53 eching

$$\{ 5 ^ { 3 } \cdot 3 ^ { 2 } - 2 ^ { 3 } \cdot [ ( 6 ^ { 2 } + 6 ^ { 2 } \cdot 15 ) : 2 ^ { 3 } + 3 ^ { 2 } \cdot 17 - 6 \cdot ( 2 ^ { 2 } \cdot 14 - 12 ^ { 2 } : 3 ^ { 2 } \cdot 2 ) ] \} : 53$$

Baholash

$$9$$

Yechim qadamlari

3 daraja ko‘rsatkichini 5 ga hisoblang va 125 ni qiymatni oling.

$$\frac{125\times 3^{2}-2^{3}\left(\frac{6^{2}+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{125\times 9-2^{3}\left(\frac{6^{2}+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

1125 hosil qilish uchun 125 va 9 ni ko'paytirish.

$$\frac{1125-2^{3}\left(\frac{6^{2}+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{1125-8\left(\frac{6^{2}+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$\frac{1125-8\left(\frac{36+6^{2}\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$\frac{1125-8\left(\frac{36+36\times 15}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

540 hosil qilish uchun 36 va 15 ni ko'paytirish.

$$\frac{1125-8\left(\frac{36+540}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

576 olish uchun 36 va 540'ni qo'shing.

$$\frac{1125-8\left(\frac{576}{2^{3}}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{1125-8\left(\frac{576}{8}+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

72 ni olish uchun 576 ni 8 ga bo‘ling.

$$\frac{1125-8\left(72+3^{2}\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{1125-8\left(72+9\times 17-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

153 hosil qilish uchun 9 va 17 ni ko'paytirish.

$$\frac{1125-8\left(72+153-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

225 olish uchun 72 va 153'ni qo'shing.

$$\frac{1125-8\left(225-6\left(2^{2}\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{1125-8\left(225-6\left(4\times 14-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

56 hosil qilish uchun 4 va 14 ni ko'paytirish.

$$\frac{1125-8\left(225-6\left(56-\frac{12^{2}}{3^{2}}\times 2\right)\right)}{53}$$

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$\frac{1125-8\left(225-6\left(56-\frac{144}{3^{2}}\times 2\right)\right)}{53}$$

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

$$\frac{1125-8\left(225-6\left(56-\frac{144}{9}\times 2\right)\right)}{53}$$

16 ni olish uchun 144 ni 9 ga bo‘ling.

$$\frac{1125-8\left(225-6\left(56-16\times 2\right)\right)}{53}$$

32 hosil qilish uchun 16 va 2 ni ko'paytirish.

$$\frac{1125-8\left(225-6\left(56-32\right)\right)}{53}$$

24 olish uchun 56 dan 32 ni ayirish.

$$\frac{1125-8\left(225-6\times 24\right)}{53}$$

144 hosil qilish uchun 6 va 24 ni ko'paytirish.

$$\frac{1125-8\left(225-144\right)}{53}$$

81 olish uchun 225 dan 144 ni ayirish.

$$\frac{1125-8\times 81}{53}$$

648 hosil qilish uchun 8 va 81 ni ko'paytirish.

$$\frac{1125-648}{53}$$

477 olish uchun 1125 dan 648 ni ayirish.

$$\frac{477}{53}$$

9 ni olish uchun 477 ni 53 ga bo‘ling.

$$9$$

Omil

$$3^{2}$$