((2*3/9div3)^-2/(frac{9{4})^2*(2/5)^-1})^-1 eching

$$( \frac { ( 2 \times \frac { 3 } { 9 } \div 3 ) ^ { - 2 } } { ( \frac { 9 } { 4 } ) ^ { 2 } \times ( \frac { 2 } { 5 } ) ^ { - 1 } } ) ^ { - 1 }$$

Baholash

$$\frac{5}{8}=0,625$$

Yechim qadamlari

\frac{3}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(\frac{\left(\frac{2\times \frac{1}{3}}{3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \left(\frac{2}{5}\right)^{-1}}\right)^{-1}$$

\frac{2}{3} hosil qilish uchun 2 va \frac{1}{3} ni ko'paytirish.

$$\left(\frac{\left(\frac{\frac{2}{3}}{3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \left(\frac{2}{5}\right)^{-1}}\right)^{-1}$$

\frac{\frac{2}{3}}{3} ni yagona kasrga aylantiring.

$$\left(\frac{\left(\frac{2}{3\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \left(\frac{2}{5}\right)^{-1}}\right)^{-1}$$

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

$$\left(\frac{\left(\frac{2}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \left(\frac{2}{5}\right)^{-1}}\right)^{-1}$$

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

$$\left(\frac{\frac{81}{4}}{\left(\frac{9}{4}\right)^{2}\times \left(\frac{2}{5}\right)^{-1}}\right)^{-1}$$

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

$$\left(\frac{\frac{81}{4}}{\frac{81}{16}\times \left(\frac{2}{5}\right)^{-1}}\right)^{-1}$$

-1 daraja ko‘rsatkichini \frac{2}{5} ga hisoblang va \frac{5}{2} ni qiymatni oling.

$$\left(\frac{\frac{81}{4}}{\frac{81}{16}\times \frac{5}{2}}\right)^{-1}$$

\frac{405}{32} hosil qilish uchun \frac{81}{16} va \frac{5}{2} ni ko'paytirish.

$$\left(\frac{\frac{81}{4}}{\frac{405}{32}}\right)^{-1}$$

\frac{81}{4} ni \frac{405}{32} ga bo'lish \frac{81}{4} ga k'paytirish \frac{405}{32} ga qaytarish.

$$\left(\frac{81}{4}\times \frac{32}{405}\right)^{-1}$$

\frac{8}{5} hosil qilish uchun \frac{81}{4} va \frac{32}{405} ni ko'paytirish.

$$\left(\frac{8}{5}\right)^{-1}$$

-1 daraja ko‘rsatkichini \frac{8}{5} ga hisoblang va \frac{5}{8} ni qiymatni oling.

$$\frac{5}{8}$$

Omil

$$\frac{5}{2 ^ {3}} = 0,625$$