(6^-1-8^-1)+(2-(3^-1)^2)? eching

$$( 6 ^ { - 1 } - 8 ^ { - 1 } ) + ( 2 - ( 3 ^ { - 1 } ) ^ { 2 } ) ?$$

Baholash

$$\frac{139}{72}\approx 1,930555556$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -1 va 2 ni ko‘paytirib, -2 ni oling.

$$6^{-1}-8^{-1}+2-3^{-2}$$

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

$$\frac{1}{6}-8^{-1}+2-3^{-2}$$

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

$$\frac{1}{6}-\frac{1}{8}+2-3^{-2}$$

\frac{1}{24} olish uchun \frac{1}{6} dan \frac{1}{8} ni ayirish.

$$\frac{1}{24}+2-3^{-2}$$

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

$$\frac{1}{24}+2-\frac{1}{9}$$

\frac{17}{9} olish uchun 2 dan \frac{1}{9} ni ayirish.

$$\frac{1}{24}+\frac{17}{9}$$

\frac{139}{72} olish uchun \frac{1}{24} va \frac{17}{9}'ni qo'shing.

$$\frac{139}{72}$$

Omil

$$\frac{139}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{67}{72} = 1,9305555555555556$$