7/9+{left(2/3right)}^3-sqrt{1/81} eching

$$\frac{ 7 }{ 9 } + { \left( \frac{ 2 }{ 3 } \right) }^{ 3 } - \sqrt{ \frac{ 1 }{ 81 } }$$

Baholash

$$\frac{26}{27}\approx 0,962962963$$

Yechim qadamlari

3 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{8}{27} ni qiymatni oling.

$$\frac{7}{9}+\frac{8}{27}-\sqrt{\frac{1}{81}}$$

9 va 27 ning eng kichik umumiy karralisi 27 ga teng. \frac{7}{9} va \frac{8}{27} ni 27 maxraj bilan kasrlarga aylantirib oling.

$$\frac{21}{27}+\frac{8}{27}-\sqrt{\frac{1}{81}}$$

\frac{21}{27} va \frac{8}{27} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{21+8}{27}-\sqrt{\frac{1}{81}}$$

29 olish uchun 21 va 8'ni qo'shing.

$$\frac{29}{27}-\sqrt{\frac{1}{81}}$$

\frac{1}{81} boʻlinmasining kvadrat ildizini \frac{\sqrt{1}}{\sqrt{81}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{29}{27}-\frac{1}{9}$$

27 va 9 ning eng kichik umumiy karralisi 27 ga teng. \frac{29}{27} va \frac{1}{9} ni 27 maxraj bilan kasrlarga aylantirib oling.

$$\frac{29}{27}-\frac{3}{27}$$

\frac{29}{27} va \frac{3}{27} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{29-3}{27}$$

26 olish uchun 29 dan 3 ni ayirish.

$$\frac{26}{27}$$

Omil

$$\frac{2 \cdot 13}{3 ^ {3}} = 0,9629629629629629$$