(1/3)^-2+(2/3)^-2+(1/4)^-2 eching

$$( \frac { 1 } { 3 } ) ^ { - 2 } + ( \frac { 2 } { 3 } ) ^ { - 2 } + ( \frac { 1 } { 4 } ) ^ { - 2 }$$

Baholash

$$\frac{109}{4}=27,25$$

Yechim qadamlari

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

$$9+\left(\frac{2}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}$$

-2 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$9+\frac{9}{4}+\left(\frac{1}{4}\right)^{-2}$$

\frac{45}{4} olish uchun 9 va \frac{9}{4}'ni qo'shing.

$$\frac{45}{4}+\left(\frac{1}{4}\right)^{-2}$$

-2 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va 16 ni qiymatni oling.

$$\frac{45}{4}+16$$

\frac{109}{4} olish uchun \frac{45}{4} va 16'ni qo'shing.

$$\frac{109}{4}$$

Omil

$$\frac{109}{2 ^ {2}} = 27\frac{1}{4} = 27,25$$