(-2)^3-3*[(-4)^2+2]-(-3)^2div(-2) eching

$$( - 2 ) ^ { 3 } - 3 \times [ ( - 4 ) ^ { 2 } + 2 ] - ( - 3 ) ^ { 2 } \div ( - 2 )$$

Baholash

$$-\frac{115}{2}=-57,5$$

Yechim qadamlari

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

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

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

$$-8-3\left(16+2\right)-\frac{\left(-3\right)^{2}}{-2}$$

18 olish uchun 16 va 2'ni qo'shing.

$$-8-3\times 18-\frac{\left(-3\right)^{2}}{-2}$$

54 hosil qilish uchun 3 va 18 ni ko'paytirish.

$$-8-54-\frac{\left(-3\right)^{2}}{-2}$$

-62 olish uchun -8 dan 54 ni ayirish.

$$-62-\frac{\left(-3\right)^{2}}{-2}$$

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

$$-62-\frac{9}{-2}$$

\frac{9}{-2} kasri manfiy belgini olib tashlash bilan -\frac{9}{2} sifatida qayta yozilishi mumkin.

$$-62-\left(-\frac{9}{2}\right)$$

-\frac{9}{2} ning teskarisi \frac{9}{2} ga teng.

$$-62+\frac{9}{2}$$

-62 ni -\frac{124}{2} kasrga o‘giring.

$$-\frac{124}{2}+\frac{9}{2}$$

-\frac{124}{2} va \frac{9}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-124+9}{2}$$

-115 olish uchun -124 va 9'ni qo'shing.

$$-\frac{115}{2}$$

Omil

$$-\frac{115}{2} = -57\frac{1}{2} = -57,5$$