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

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

Baholash

$$-\frac{7981}{2268}\approx -3,518959436$$

Yechim qadamlari

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

$$\left(\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

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

$$\frac{1}{4}\left(-2\right)^{3}-\frac{3}{2}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

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

$$\frac{1}{4}\left(-8\right)-\frac{3}{2}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

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

$$-2-\frac{3}{2}-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

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

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

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

$$-\frac{7}{2}-\frac{1}{36}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

-\frac{127}{36} olish uchun -\frac{7}{2} dan \frac{1}{36} ni ayirish.

$$-\frac{127}{36}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

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

$$-\frac{127}{36}+\frac{\frac{1}{20}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

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

$$-\frac{127}{36}+\frac{\frac{1}{20}}{\left(\frac{3}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

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

$$-\frac{127}{36}+\frac{\frac{1}{20}}{\frac{9}{25}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

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

$$-\frac{127}{36}+\frac{1}{20}\times \frac{25}{9}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

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

$$-\frac{127}{36}+\frac{5}{36}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

\frac{1}{9} olish uchun \frac{1}{3} dan \frac{2}{9} ni ayirish.

$$-\frac{127}{36}+\frac{5}{36}|-\frac{\frac{1}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

-\frac{7}{4} olish uchun \frac{1}{8} dan \frac{15}{8} ni ayirish.

$$-\frac{127}{36}+\frac{5}{36}|-\frac{\frac{1}{9}}{-\frac{7}{4}}|$$

\frac{1}{9} ni -\frac{7}{4} ga bo'lish \frac{1}{9} ga k'paytirish -\frac{7}{4} ga qaytarish.

$$-\frac{127}{36}+\frac{5}{36}|-\frac{1}{9}\left(-\frac{4}{7}\right)|$$

-\frac{4}{63} hosil qilish uchun \frac{1}{9} va -\frac{4}{7} ni ko'paytirish.

$$-\frac{127}{36}+\frac{5}{36}|-\left(-\frac{4}{63}\right)|$$

-\frac{4}{63} ning teskarisi \frac{4}{63} ga teng.

$$-\frac{127}{36}+\frac{5}{36}|\frac{4}{63}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. \frac{4}{63} ning mutloq qiymati \frac{4}{63} ga teng.

$$-\frac{127}{36}+\frac{5}{36}\times \frac{4}{63}$$

\frac{5}{567} hosil qilish uchun \frac{5}{36} va \frac{4}{63} ni ko'paytirish.

$$-\frac{127}{36}+\frac{5}{567}$$

-\frac{7981}{2268} olish uchun -\frac{127}{36} va \frac{5}{567}'ni qo'shing.

$$-\frac{7981}{2268}$$

Omil

$$-\frac{7981}{2268} = -3\frac{1177}{2268} = -3,5189594356261025$$