{left({left(2-frac{3/9/3right)}^-2}{{left(9/4right)}^22^-1/5}right)}^-1 eching

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

Baholash

$$\frac{289}{160}=1,80625$$

Yechim qadamlari

\frac{\frac{3}{9}}{3} ni yagona kasrga aylantiring.

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

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

$$\left(\frac{\left(2-\frac{3}{27}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2^{-1}}{5}}\right)^{-1}$$

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

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

\frac{17}{9} olish uchun 2 dan \frac{1}{9} ni ayirish.

$$\left(\frac{\left(\frac{17}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2^{-1}}{5}}\right)^{-1}$$

-2 daraja ko‘rsatkichini \frac{17}{9} ga hisoblang va \frac{81}{289} ni qiymatni oling.

$$\left(\frac{\frac{81}{289}}{\left(\frac{9}{4}\right)^{2}\times \frac{2^{-1}}{5}}\right)^{-1}$$

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

$$\left(\frac{\frac{81}{289}}{\frac{81}{16}\times \frac{2^{-1}}{5}}\right)^{-1}$$

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

$$\left(\frac{\frac{81}{289}}{\frac{81}{16}\times \frac{\frac{1}{2}}{5}}\right)^{-1}$$

\frac{\frac{1}{2}}{5} ni yagona kasrga aylantiring.

$$\left(\frac{\frac{81}{289}}{\frac{81}{16}\times \frac{1}{2\times 5}}\right)^{-1}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\left(\frac{\frac{81}{289}}{\frac{81}{16}\times \frac{1}{10}}\right)^{-1}$$

\frac{81}{160} hosil qilish uchun \frac{81}{16} va \frac{1}{10} ni ko'paytirish.

$$\left(\frac{\frac{81}{289}}{\frac{81}{160}}\right)^{-1}$$

\frac{81}{289} ni \frac{81}{160} ga bo'lish \frac{81}{289} ga k'paytirish \frac{81}{160} ga qaytarish.

$$\left(\frac{81}{289}\times \frac{160}{81}\right)^{-1}$$

\frac{160}{289} hosil qilish uchun \frac{81}{289} va \frac{160}{81} ni ko'paytirish.

$$\left(\frac{160}{289}\right)^{-1}$$

-1 daraja ko‘rsatkichini \frac{160}{289} ga hisoblang va \frac{289}{160} ni qiymatni oling.

$$\frac{289}{160}$$

Omil

$$\frac{17 ^ {2}}{2 ^ {5} \cdot 5} = 1\frac{129}{160} = 1,80625$$