(1-3^{4})^{3}+(3^{6}-3^{3})(3^{6}+3^{3})-2*3^6(3^3-1)+3(3^4-1)^2 eching

$$( 1 - 3 ^ { 4 } ) ^ { 3 } + ( 3 ^ { 6 } - 3 ^ { 3 } ) ( 3 ^ { 6 } + 3 ^ { 3 } ) - 2 \cdot 3 ^ { 6 } ( 3 ^ { 3 } - 1 ) + 3 ( 3 ^ { 4 } - 1 ) ^ { 2 }$$

Baholash

$$4$$

Yechim qadamlari

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

$$\left(1-81\right)^{3}+\left(3^{6}-3^{3}\right)\left(3^{6}+3^{3}\right)-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

-80 olish uchun 1 dan 81 ni ayirish.

$$\left(-80\right)^{3}+\left(3^{6}-3^{3}\right)\left(3^{6}+3^{3}\right)-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

3 daraja ko‘rsatkichini -80 ga hisoblang va -512000 ni qiymatni oling.

$$-512000+\left(3^{6}-3^{3}\right)\left(3^{6}+3^{3}\right)-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

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

$$-512000+\left(729-3^{3}\right)\left(3^{6}+3^{3}\right)-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$-512000+\left(729-27\right)\left(3^{6}+3^{3}\right)-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

702 olish uchun 729 dan 27 ni ayirish.

$$-512000+702\left(3^{6}+3^{3}\right)-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

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

$$-512000+702\left(729+3^{3}\right)-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$-512000+702\left(729+27\right)-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

756 olish uchun 729 va 27'ni qo'shing.

$$-512000+702\times 756-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

530712 hosil qilish uchun 702 va 756 ni ko'paytirish.

$$-512000+530712-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

18712 olish uchun -512000 va 530712'ni qo'shing.

$$18712-2\times 3^{6}\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

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

$$18712-2\times 729\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

1458 hosil qilish uchun 2 va 729 ni ko'paytirish.

$$18712-1458\left(3^{3}-1\right)+3\left(3^{4}-1\right)^{2}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$18712-1458\left(27-1\right)+3\left(3^{4}-1\right)^{2}$$

26 olish uchun 27 dan 1 ni ayirish.

$$18712-1458\times 26+3\left(3^{4}-1\right)^{2}$$

37908 hosil qilish uchun 1458 va 26 ni ko'paytirish.

$$18712-37908+3\left(3^{4}-1\right)^{2}$$

-19196 olish uchun 18712 dan 37908 ni ayirish.

$$-19196+3\left(3^{4}-1\right)^{2}$$

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

$$-19196+3\left(81-1\right)^{2}$$

80 olish uchun 81 dan 1 ni ayirish.

$$-19196+3\times 80^{2}$$

2 daraja ko‘rsatkichini 80 ga hisoblang va 6400 ni qiymatni oling.

$$-19196+3\times 6400$$

19200 hosil qilish uchun 3 va 6400 ni ko'paytirish.

$$-19196+19200$$

4 olish uchun -19196 va 19200'ni qo'shing.

$$4$$

Omil

$$2^{2}$$