-05^2+1/4-|-2^2-4|-(-11/2)^3*4/9 eching

$$- 05 ^ { 2 } + \frac { 1 } { 4 } - | - 2 ^ { 2 } - 4 | - ( - 1 \frac { 1 } { 2 } ) ^ { 3 } \times \frac { 4 } { 9 }$$

Baholash

$$-\frac{25}{4}=-6,25$$

Yechim qadamlari

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$0\times 25+\frac{1}{4}-|-2^{2}-4|-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

0 hosil qilish uchun 0 va 25 ni ko'paytirish.

$$0+\frac{1}{4}-|-2^{2}-4|-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

\frac{1}{4} olish uchun 0 va \frac{1}{4}'ni qo'shing.

$$\frac{1}{4}-|-2^{2}-4|-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

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

$$\frac{1}{4}-|-4-4|-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

-8 olish uchun -4 dan 4 ni ayirish.

$$\frac{1}{4}-|-8|-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -8 ning mutloq qiymati 8 ga teng.

$$\frac{1}{4}-8-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

-\frac{31}{4} olish uchun \frac{1}{4} dan 8 ni ayirish.

$$-\frac{31}{4}-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$-\frac{31}{4}-\left(-\frac{2+1}{2}\right)^{3}\times \frac{4}{9}$$

3 olish uchun 2 va 1'ni qo'shing.

$$-\frac{31}{4}-\left(-\frac{3}{2}\right)^{3}\times \frac{4}{9}$$

3 daraja ko‘rsatkichini -\frac{3}{2} ga hisoblang va -\frac{27}{8} ni qiymatni oling.

$$-\frac{31}{4}-\left(-\frac{27}{8}\times \frac{4}{9}\right)$$

-\frac{3}{2} hosil qilish uchun -\frac{27}{8} va \frac{4}{9} ni ko'paytirish.

$$-\frac{31}{4}-\left(-\frac{3}{2}\right)$$

-\frac{3}{2} ning teskarisi \frac{3}{2} ga teng.

$$-\frac{31}{4}+\frac{3}{2}$$

-\frac{25}{4} olish uchun -\frac{31}{4} va \frac{3}{2}'ni qo'shing.

$$-\frac{25}{4}$$

Omil

$$-\frac{25}{4} = -6\frac{1}{4} = -6,25$$