{left(1/3right)}^2+{left(1/3right)}^-2+{left(-1/3right)}^3+3^-2 eching

$${ \left( \frac{ 1 }{ 3 } \right) }^{ 2 } + { \left( \frac{ 1 }{ 3 } \right) }^{ -2 } + { \left(- \frac{ 1 }{ 3 } \right) }^{ 3 } + { 3 }^{ -2 }$$

Baholash

$$\frac{248}{27}\approx 9,185185185$$

Yechim qadamlari

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

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

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

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

\frac{82}{9} olish uchun \frac{1}{9} va 9'ni qo'shing.

$$\frac{82}{9}+\left(-\frac{1}{3}\right)^{3}+3^{-2}$$

3 daraja ko‘rsatkichini -\frac{1}{3} ga hisoblang va -\frac{1}{27} ni qiymatni oling.

$$\frac{82}{9}-\frac{1}{27}+3^{-2}$$

\frac{245}{27} olish uchun \frac{82}{9} dan \frac{1}{27} ni ayirish.

$$\frac{245}{27}+3^{-2}$$

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

$$\frac{245}{27}+\frac{1}{9}$$

\frac{248}{27} olish uchun \frac{245}{27} va \frac{1}{9}'ni qo'shing.

$$\frac{248}{27}$$

Omil

$$\frac{2 ^ {3} \cdot 31}{3 ^ {3}} = 9\frac{5}{27} = 9,185185185185185$$