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

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

Baholash

$$\frac{28}{9}\approx 3,111111111$$

Yechim qadamlari

-1 daraja ko‘rsatkichini \frac{3}{4} ga hisoblang va \frac{4}{3} ni qiymatni oling.

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

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

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

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

$$\frac{4}{3}+\frac{1}{9}\times 16$$

\frac{16}{9} hosil qilish uchun \frac{1}{9} va 16 ni ko'paytirish.

$$\frac{4}{3}+\frac{16}{9}$$

\frac{28}{9} olish uchun \frac{4}{3} va \frac{16}{9}'ni qo'shing.

$$\frac{28}{9}$$

Omil

$$\frac{2 ^ {2} \cdot 7}{3 ^ {2}} = 3\frac{1}{9} = 3,111111111111111$$