2-4^-1-14-3-5/2^-3-10-9*2= eching

$$\frac { 2 - 4 ^ { - 1 } - 14 - 3 - 5 } { 2 ^ { - 3 } - 10 - 9 \cdot 2 } =$$

Baholash

$$\frac{162}{223}\approx 0,726457399$$

Yechim qadamlari

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

$$\frac{2-\frac{1}{4}-14-3-5}{2^{-3}-10-9\times 2}$$

\frac{7}{4} olish uchun 2 dan \frac{1}{4} ni ayirish.

$$\frac{\frac{7}{4}-14-3-5}{2^{-3}-10-9\times 2}$$

-\frac{49}{4} olish uchun \frac{7}{4} dan 14 ni ayirish.

$$\frac{-\frac{49}{4}-3-5}{2^{-3}-10-9\times 2}$$

-\frac{61}{4} olish uchun -\frac{49}{4} dan 3 ni ayirish.

$$\frac{-\frac{61}{4}-5}{2^{-3}-10-9\times 2}$$

-\frac{81}{4} olish uchun -\frac{61}{4} dan 5 ni ayirish.

$$\frac{-\frac{81}{4}}{2^{-3}-10-9\times 2}$$

-3 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\frac{-\frac{81}{4}}{\frac{1}{8}-10-9\times 2}$$

-\frac{79}{8} olish uchun \frac{1}{8} dan 10 ni ayirish.

$$\frac{-\frac{81}{4}}{-\frac{79}{8}-9\times 2}$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$\frac{-\frac{81}{4}}{-\frac{79}{8}-18}$$

-\frac{223}{8} olish uchun -\frac{79}{8} dan 18 ni ayirish.

$$\frac{-\frac{81}{4}}{-\frac{223}{8}}$$

-\frac{81}{4} ni -\frac{223}{8} ga bo'lish -\frac{81}{4} ga k'paytirish -\frac{223}{8} ga qaytarish.

$$-\frac{81}{4}\left(-\frac{8}{223}\right)$$

\frac{162}{223} hosil qilish uchun -\frac{81}{4} va -\frac{8}{223} ni ko'paytirish.

$$\frac{162}{223}$$

Omil

$$\frac{2 \cdot 3 ^ {4}}{223} = 0,726457399103139$$