16^2-6^-3-3^2*3^-3= eching

$$16 ^ { 2 } - 6 ^ { - 3 } - 3 ^ { 2 } \cdot 3 ^ { - 3 } =$$

Baholash

$$\frac{55223}{216}\approx 255,662037037$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va -3 ni qo‘shib, -1 ni oling.

$$16^{2}-6^{-3}-3^{-1}$$

2 daraja ko‘rsatkichini 16 ga hisoblang va 256 ni qiymatni oling.

$$256-6^{-3}-3^{-1}$$

-3 daraja ko‘rsatkichini 6 ga hisoblang va \frac{1}{216} ni qiymatni oling.

$$256-\frac{1}{216}-3^{-1}$$

\frac{55295}{216} olish uchun 256 dan \frac{1}{216} ni ayirish.

$$\frac{55295}{216}-3^{-1}$$

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

$$\frac{55295}{216}-\frac{1}{3}$$

\frac{55223}{216} olish uchun \frac{55295}{216} dan \frac{1}{3} ni ayirish.

$$\frac{55223}{216}$$

Omil

$$\frac{7 ^ {4} \cdot 23}{2 ^ {3} \cdot 3 ^ {3}} = 255\frac{143}{216} = 255,66203703703704$$