(-2)^3-|-1/2|+(1/3)^-2div(3-pi)^0 eching

$$( - 2 ) ^ { 3 } - | - \frac { 1 } { 2 } | + ( \frac { 1 } { 3 } ) ^ { - 2 } \div ( 3 - \pi ) ^ { 0 }$$

Baholash

$$\frac{1}{2}=0,5$$

Qisqa yechim qadamlari

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

$$-8-|-\frac{1}{2}|+\frac{\left(\frac{1}{3}\right)^{-2}}{\left(3-\pi \right)^{0}}$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{1}{2} ning mutloq qiymati \frac{1}{2} ga teng.

$$-8-\frac{1}{2}+\frac{\left(\frac{1}{3}\right)^{-2}}{\left(3-\pi \right)^{0}}$$

-\frac{17}{2} olish uchun -8 dan \frac{1}{2} ni ayirish.

$$-\frac{17}{2}+\frac{\left(\frac{1}{3}\right)^{-2}}{\left(3-\pi \right)^{0}}$$

-2 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va 9 ni qiymatni oling.

$$-\frac{17}{2}+\frac{9}{\left(3-\pi \right)^{0}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va \left(3-\pi \right)^{0} ning eng kichik umumiy karralisi 2. \frac{9}{\left(3-\pi \right)^{0}} ni \frac{2}{2} marotabaga ko'paytirish.

$$-\frac{17}{2}+\frac{9\times 2}{2}$$

-\frac{17}{2} va \frac{9\times 2}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-17+9\times 2}{2}$$

-17+9\times 2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{-17+18}{2}$$

-17+18 hisob-kitobini qiling.

$$\frac{1}{2}$$

Omil

$$\frac{1}{2} = 0,5$$