-(1/3+frac{7/9)^{2}}{(1-1/2)^{2}*(-2)^3-3/2}+-(-frac{1}{6})^2+frac{frac{1}{4}-frac{1}{5}}{(1-frac{2}{5})^2})^2-frac{frac{1}{3}-frac{2}{9}}{frac{1}{8}-frac{15}{8}}= eching

$$- \frac { ( \frac { 1 } { 3 } + \frac { 7 } { 9 } ) ^ { 2 } } { ( 1 - \frac { 1 } { 2 } ) ^ { 2 } \cdot ( - 2 ) ^ { 3 } - \frac { 3 } { 2 } } + - ( - \frac { 1 } { 6 } ) ^ { 2 } + \frac { \frac { 1 } { 4 } - \frac { 1 } { 5 } } { ( 1 - \frac { 2 } { 5 } ) ^ { 2 } } ) ^ { 2 } - \frac { \frac { 1 } { 3 } - \frac { 2 } { 9 } } { \frac { 1 } { 8 } - \frac { 15 } { 8 } } =$$

Baholash

$$\frac{263}{567}\approx 0,463844797$$

Yechim qadamlari

\frac{10}{9} olish uchun \frac{1}{3} va \frac{7}{9}'ni qo'shing.

$$-\frac{\left(\frac{10}{9}\right)^{2}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{10}{9} ga hisoblang va \frac{100}{81} ni qiymatni oling.

$$-\frac{\frac{100}{81}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

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

$$-\frac{\frac{100}{81}}{\left(\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$-\frac{\frac{100}{81}}{\frac{1}{4}\left(-2\right)^{3}-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

3 daraja ko‘rsatkichini -2 ga hisoblang va -8 ni qiymatni oling.

$$-\frac{\frac{100}{81}}{\frac{1}{4}\left(-8\right)-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

-2 hosil qilish uchun \frac{1}{4} va -8 ni ko'paytirish.

$$-\frac{\frac{100}{81}}{-2-\frac{3}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

-\frac{7}{2} olish uchun -2 dan \frac{3}{2} ni ayirish.

$$-\frac{\frac{100}{81}}{-\frac{7}{2}}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

\frac{100}{81} ni -\frac{7}{2} ga bo'lish \frac{100}{81} ga k'paytirish -\frac{7}{2} ga qaytarish.

$$-\frac{100}{81}\left(-\frac{2}{7}\right)-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

-\frac{200}{567} hosil qilish uchun \frac{100}{81} va -\frac{2}{7} ni ko'paytirish.

$$-\left(-\frac{200}{567}\right)-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

-\frac{200}{567} ning teskarisi \frac{200}{567} ga teng.

$$\frac{200}{567}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

2 daraja ko‘rsatkichini -\frac{1}{6} ga hisoblang va \frac{1}{36} ni qiymatni oling.

$$\frac{200}{567}-\frac{1}{36}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

\frac{737}{2268} olish uchun \frac{200}{567} dan \frac{1}{36} ni ayirish.

$$\frac{737}{2268}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}$$

\frac{1}{20} olish uchun \frac{1}{4} dan \frac{1}{5} ni ayirish.

$$\frac{737}{2268}+\frac{\frac{1}{20}}{\left(1-\frac{2}{5}\right)^{2}}$$

\frac{3}{5} olish uchun 1 dan \frac{2}{5} ni ayirish.

$$\frac{737}{2268}+\frac{\frac{1}{20}}{\left(\frac{3}{5}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{3}{5} ga hisoblang va \frac{9}{25} ni qiymatni oling.

$$\frac{737}{2268}+\frac{\frac{1}{20}}{\frac{9}{25}}$$

\frac{1}{20} ni \frac{9}{25} ga bo'lish \frac{1}{20} ga k'paytirish \frac{9}{25} ga qaytarish.

$$\frac{737}{2268}+\frac{1}{20}\times \frac{25}{9}$$

\frac{5}{36} hosil qilish uchun \frac{1}{20} va \frac{25}{9} ni ko'paytirish.

$$\frac{737}{2268}+\frac{5}{36}$$

\frac{263}{567} olish uchun \frac{737}{2268} va \frac{5}{36}'ni qo'shing.

$$\frac{263}{567}$$

Omil

$$\frac{263}{3 ^ {4} \cdot 7} = 0,4638447971781305$$