2^0-3^-2/2-2(2)^-2 eching

$$\frac { 2 ^ { 0 } - 3 ^ { - 2 } } { 2 - 2 ( 2 ) ^ { - 2 } }$$

Baholash

$$\frac{16}{27}\approx 0,592592593$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -2 ni qo‘shib, -1 ni oling.

$$\frac{2^{0}-3^{-2}}{2-2^{-1}}$$

0 daraja ko‘rsatkichini 2 ga hisoblang va 1 ni qiymatni oling.

$$\frac{1-3^{-2}}{2-2^{-1}}$$

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

$$\frac{1-\frac{1}{9}}{2-2^{-1}}$$

\frac{8}{9} olish uchun 1 dan \frac{1}{9} ni ayirish.

$$\frac{\frac{8}{9}}{2-2^{-1}}$$

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

$$\frac{\frac{8}{9}}{2-\frac{1}{2}}$$

\frac{3}{2} olish uchun 2 dan \frac{1}{2} ni ayirish.

$$\frac{\frac{8}{9}}{\frac{3}{2}}$$

\frac{8}{9} ni \frac{3}{2} ga bo'lish \frac{8}{9} ga k'paytirish \frac{3}{2} ga qaytarish.

$$\frac{8}{9}\times \frac{2}{3}$$

\frac{16}{27} hosil qilish uchun \frac{8}{9} va \frac{2}{3} ni ko'paytirish.

$$\frac{16}{27}$$

Omil

$$\frac{2 ^ {4}}{3 ^ {3}} = 0,5925925925925926$$