344(1/216)^-frac{2{3}}+(1/27)^-frac{4{3}}=? eching

$$344 ( \frac { 1 } { 216 } ) ^ { - \frac { 2 } { 3 } } + ( \frac { 1 } { 27 } ) ^ { - \frac { 4 } { 3 } } = ?$$

Baholash

$$12465$$

Yechim qadamlari

-\frac{2}{3} daraja ko‘rsatkichini \frac{1}{216} ga hisoblang va 36 ni qiymatni oling.

$$344\times 36+\left(\frac{1}{27}\right)^{-\frac{4}{3}}$$

12384 hosil qilish uchun 344 va 36 ni ko'paytirish.

$$12384+\left(\frac{1}{27}\right)^{-\frac{4}{3}}$$

-\frac{4}{3} daraja ko‘rsatkichini \frac{1}{27} ga hisoblang va 81 ni qiymatni oling.

$$12384+81$$

12465 olish uchun 12384 va 81'ni qo'shing.

$$12465$$

Omil

$$3^{2}\times 5\times 277$$