[(-1)^{3}div2/9+2^{200}*(-05)^200-3^3*(-3/2)^2]div|-4div2*(-1/2)^2| eching

$$[ ( - 1 ) ^ { 3 } \div \frac { 2 } { 9 } + 2 ^ { 200 } \times ( - 05 ) ^ { 200 } - 3 ^ { 3 } \times ( - \frac { 3 } { 2 } ) ^ { 2 } ] \div | - 4 \div 2 \times ( - \frac { 1 } { 2 } ) ^ { 2 } |$$

Baholash

$$-\frac{261}{2}=-130,5$$

Yechim qadamlari

3 daraja ko‘rsatkichini -1 ga hisoblang va -1 ni qiymatni oling.

$$\frac{\frac{-1}{\frac{2}{9}}+2^{200}\times \left(0\times 5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

-1 ni \frac{2}{9} ga bo'lish -1 ga k'paytirish \frac{2}{9} ga qaytarish.

$$\frac{-\frac{9}{2}+2^{200}\times \left(0\times 5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

200 daraja ko‘rsatkichini 2 ga hisoblang va 1606938044258990275541962092341162602522202993782792835301376 ni qiymatni oling.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times \left(0\times 5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times 0^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

200 daraja ko‘rsatkichini 0 ga hisoblang va 0 ni qiymatni oling.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times 0-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

0 hosil qilish uchun 1606938044258990275541962092341162602522202993782792835301376 va 0 ni ko'paytirish.

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

-\frac{9}{2} olish uchun -\frac{9}{2} va 0'ni qo'shing.

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

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

$$\frac{-\frac{9}{2}-27\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

2 daraja ko‘rsatkichini -\frac{3}{2} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$\frac{-\frac{9}{2}-27\times \frac{9}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

\frac{243}{4} hosil qilish uchun 27 va \frac{9}{4} ni ko'paytirish.

$$\frac{-\frac{9}{2}-\frac{243}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

-\frac{261}{4} olish uchun -\frac{9}{2} dan \frac{243}{4} ni ayirish.

$$\frac{-\frac{261}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

-2 ni olish uchun -4 ni 2 ga bo‘ling.

$$\frac{-\frac{261}{4}}{|-2\left(-\frac{1}{2}\right)^{2}|}$$

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

$$\frac{-\frac{261}{4}}{|-2\times \frac{1}{4}|}$$

-\frac{1}{2} hosil qilish uchun -2 va \frac{1}{4} ni ko'paytirish.

$$\frac{-\frac{261}{4}}{|-\frac{1}{2}|}$$

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.

$$\frac{-\frac{261}{4}}{\frac{1}{2}}$$

-\frac{261}{4} ni \frac{1}{2} ga bo'lish -\frac{261}{4} ga k'paytirish \frac{1}{2} ga qaytarish.

$$-\frac{261}{4}\times 2$$

-\frac{261}{2} hosil qilish uchun -\frac{261}{4} va 2 ni ko'paytirish.

$$-\frac{261}{2}$$

Omil

$$-\frac{261}{2} = -130\frac{1}{2} = -130,5$$