|-2^2+(-2)^3-2^-1+(-2)^-2|= eching

$$| - 2 ^ { 2 } + ( - 2 ) ^ { 3 } - 2 ^ { - 1 } + ( - 2 ) ^ { - 2 } | =$$

Baholash

$$\frac{49}{4}=12,25$$

Yechim qadamlari

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

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

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

$$|-4-8-2^{-1}+\left(-2\right)^{-2}|$$

-12 olish uchun -4 dan 8 ni ayirish.

$$|-12-2^{-1}+\left(-2\right)^{-2}|$$

-1 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{2} ni qiymatni oling.

$$|-12-\frac{1}{2}+\left(-2\right)^{-2}|$$

-\frac{25}{2} olish uchun -12 dan \frac{1}{2} ni ayirish.

$$|-\frac{25}{2}+\left(-2\right)^{-2}|$$

-2 daraja ko‘rsatkichini -2 ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$|-\frac{25}{2}+\frac{1}{4}|$$

-\frac{49}{4} olish uchun -\frac{25}{2} va \frac{1}{4}'ni qo'shing.

$$|-\frac{49}{4}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{49}{4} ning mutloq qiymati \frac{49}{4} ga teng.

$$\frac{49}{4}$$

Omil

$$\frac{7 ^ {2}}{2 ^ {2}} = 12\frac{1}{4} = 12,25$$