-3^3*(-5)+16div(-2)^3-|-4*5|+(5/8-0625)^2 eching

$$- 3 ^ { 3 } \times ( - 5 ) + 16 \div ( - 2 ) ^ { 3 } - | - 4 \times 5 | + ( \frac { 5 } { 8 } - 0625 ) ^ { 2 }$$

Baholash

$$\frac{7257}{64}=113,390625$$

Yechim qadamlari

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

$$-27\left(-5\right)+\frac{16}{\left(-2\right)^{3}}-|-4\times 5|+\left(\frac{5}{8}-0\times 625\right)^{2}$$

135 hosil qilish uchun -27 va -5 ni ko'paytirish.

$$135+\frac{16}{\left(-2\right)^{3}}-|-4\times 5|+\left(\frac{5}{8}-0\times 625\right)^{2}$$

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

$$135+\frac{16}{-8}-|-4\times 5|+\left(\frac{5}{8}-0\times 625\right)^{2}$$

-2 ni olish uchun 16 ni -8 ga bo‘ling.

$$135-2-|-4\times 5|+\left(\frac{5}{8}-0\times 625\right)^{2}$$

133 olish uchun 135 dan 2 ni ayirish.

$$133-|-4\times 5|+\left(\frac{5}{8}-0\times 625\right)^{2}$$

-20 hosil qilish uchun -4 va 5 ni ko'paytirish.

$$133-|-20|+\left(\frac{5}{8}-0\times 625\right)^{2}$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -20 ning mutloq qiymati 20 ga teng.

$$133-20+\left(\frac{5}{8}-0\times 625\right)^{2}$$

113 olish uchun 133 dan 20 ni ayirish.

$$113+\left(\frac{5}{8}-0\times 625\right)^{2}$$

0 hosil qilish uchun 0 va 625 ni ko'paytirish.

$$113+\left(\frac{5}{8}-0\right)^{2}$$

\frac{5}{8} olish uchun \frac{5}{8} dan 0 ni ayirish.

$$113+\left(\frac{5}{8}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{5}{8} ga hisoblang va \frac{25}{64} ni qiymatni oling.

$$113+\frac{25}{64}$$

\frac{7257}{64} olish uchun 113 va \frac{25}{64}'ni qo'shing.

$$\frac{7257}{64}$$

Omil

$$\frac{3 \cdot 41 \cdot 59}{2 ^ {6}} = 113\frac{25}{64} = 113,390625$$