1/2-2^33^2+3-2^24^2 eching

$$\frac{ 1 }{ 2 } - { 2 }^{ 3 } { 3 }^{ 2 } +3- { 2 }^{ 2 } { 4 }^{ 2 }$$

Baholash

$$-\frac{265}{2}=-132,5$$

Yechim qadamlari

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

$$\frac{1}{2}-8\times 3^{2}+3-2^{2}\times 4^{2}$$

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

$$\frac{1}{2}-8\times 9+3-2^{2}\times 4^{2}$$

72 hosil qilish uchun 8 va 9 ni ko'paytirish.

$$\frac{1}{2}-72+3-2^{2}\times 4^{2}$$

72 ni \frac{144}{2} kasrga o‘giring.

$$\frac{1}{2}-\frac{144}{2}+3-2^{2}\times 4^{2}$$

\frac{1}{2} va \frac{144}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1-144}{2}+3-2^{2}\times 4^{2}$$

-143 olish uchun 1 dan 144 ni ayirish.

$$-\frac{143}{2}+3-2^{2}\times 4^{2}$$

3 ni \frac{6}{2} kasrga o‘giring.

$$-\frac{143}{2}+\frac{6}{2}-2^{2}\times 4^{2}$$

-\frac{143}{2} va \frac{6}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-143+6}{2}-2^{2}\times 4^{2}$$

-137 olish uchun -143 va 6'ni qo'shing.

$$-\frac{137}{2}-2^{2}\times 4^{2}$$

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

$$-\frac{137}{2}-4\times 4^{2}$$

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

$$-\frac{137}{2}-4\times 16$$

64 hosil qilish uchun 4 va 16 ni ko'paytirish.

$$-\frac{137}{2}-64$$

64 ni \frac{128}{2} kasrga o‘giring.

$$-\frac{137}{2}-\frac{128}{2}$$

-\frac{137}{2} va \frac{128}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-137-128}{2}$$

-265 olish uchun -137 dan 128 ni ayirish.

$$-\frac{265}{2}$$

Omil

$$-\frac{265}{2} = -132\frac{1}{2} = -132,5$$