((23/9div3)^-2/94^2*frac{2/5}) eching

$$( \frac { ( 2 \frac { 3 } { 9 } \div 3 ) ^ { - 2 } } { \frac { 9 } { 4 } ^ { 2 } \cdot \frac { 2 } { 5 } } )$$

Baholash

$$\frac{40}{49}\approx 0,816326531$$

Yechim qadamlari

\frac{\frac{2\times 9+3}{9}}{3} ni yagona kasrga aylantiring.

$$\frac{\left(\frac{2\times 9+3}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$\frac{\left(\frac{18+3}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

21 olish uchun 18 va 3'ni qo'shing.

$$\frac{\left(\frac{21}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

27 hosil qilish uchun 9 va 3 ni ko'paytirish.

$$\frac{\left(\frac{21}{27}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

\frac{21}{27} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\left(\frac{7}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

-2 daraja ko‘rsatkichini \frac{7}{9} ga hisoblang va \frac{81}{49} ni qiymatni oling.

$$\frac{\frac{81}{49}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

2 daraja ko‘rsatkichini \frac{9}{4} ga hisoblang va \frac{81}{16} ni qiymatni oling.

$$\frac{\frac{81}{49}}{\frac{81}{16}\times \frac{2}{5}}$$

\frac{81}{40} hosil qilish uchun \frac{81}{16} va \frac{2}{5} ni ko'paytirish.

$$\frac{\frac{81}{49}}{\frac{81}{40}}$$

\frac{81}{49} ni \frac{81}{40} ga bo'lish \frac{81}{49} ga k'paytirish \frac{81}{40} ga qaytarish.

$$\frac{81}{49}\times \frac{40}{81}$$

\frac{40}{49} hosil qilish uchun \frac{81}{49} va \frac{40}{81} ni ko'paytirish.

$$\frac{40}{49}$$

Omil

$$\frac{2 ^ {3} \cdot 5}{7 ^ {2}} = 0,8163265306122449$$