Atrisiniet (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}|-frac{frac{1}{3}-frac{2}{9}}{frac{1}{8}-frac{15}{8}}=

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

Izrēķināt

$$-\frac{239}{756}\approx -0,316137566$$

Atrisinājuma darbības

Saskaitiet \frac{1}{3} un \frac{7}{9}, lai iegūtu \frac{10}{9}.

$$\frac{\left(\frac{10}{9}\right)^{2}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Aprēķiniet \frac{10}{9} pakāpē 2 un iegūstiet \frac{100}{81}.

$$\frac{\frac{100}{81}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Atņemiet \frac{1}{2} no 1, lai iegūtu \frac{1}{2}.

$$\frac{\frac{100}{81}}{\left(\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Aprēķiniet \frac{1}{2} pakāpē 2 un iegūstiet \frac{1}{4}.

$$\frac{\frac{100}{81}}{\frac{1}{4}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Aprēķiniet -2 pakāpē 3 un iegūstiet -8.

$$\frac{\frac{100}{81}}{\frac{1}{4}\left(-8\right)-\frac{3}{2}}+\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Reiziniet \frac{1}{4} un -8, lai iegūtu -2.

$$\frac{\frac{100}{81}}{-2-\frac{3}{2}}+\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Atņemiet \frac{3}{2} no -2, lai iegūtu -\frac{7}{2}.

$$\frac{\frac{100}{81}}{-\frac{7}{2}}+\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Daliet \frac{100}{81} ar -\frac{7}{2}, reizinot \frac{100}{81} ar apgriezto daļskaitli -\frac{7}{2} .

$$\frac{100}{81}\left(-\frac{2}{7}\right)+\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Reiziniet \frac{100}{81} un -\frac{2}{7}, lai iegūtu -\frac{200}{567}.

$$-\frac{200}{567}+\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Aprēķiniet -\frac{1}{6} pakāpē 2 un iegūstiet \frac{1}{36}.

$$-\frac{200}{567}+\frac{1}{36}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Saskaitiet -\frac{200}{567} un \frac{1}{36}, lai iegūtu -\frac{737}{2268}.

$$-\frac{737}{2268}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Atņemiet \frac{1}{5} no \frac{1}{4}, lai iegūtu \frac{1}{20}.

$$-\frac{737}{2268}+\frac{\frac{1}{20}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Atņemiet \frac{2}{5} no 1, lai iegūtu \frac{3}{5}.

$$-\frac{737}{2268}+\frac{\frac{1}{20}}{\left(\frac{3}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Aprēķiniet \frac{3}{5} pakāpē 2 un iegūstiet \frac{9}{25}.

$$-\frac{737}{2268}+\frac{\frac{1}{20}}{\frac{9}{25}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Daliet \frac{1}{20} ar \frac{9}{25}, reizinot \frac{1}{20} ar apgriezto daļskaitli \frac{9}{25} .

$$-\frac{737}{2268}+\frac{1}{20}\times \frac{25}{9}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Reiziniet \frac{1}{20} un \frac{25}{9}, lai iegūtu \frac{5}{36}.

$$-\frac{737}{2268}+\frac{5}{36}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Atņemiet \frac{2}{9} no \frac{1}{3}, lai iegūtu \frac{1}{9}.

$$-\frac{737}{2268}+\frac{5}{36}|-\frac{\frac{1}{9}}{\frac{1}{8}-\frac{15}{8}}|$$

Atņemiet \frac{15}{8} no \frac{1}{8}, lai iegūtu -\frac{7}{4}.

$$-\frac{737}{2268}+\frac{5}{36}|-\frac{\frac{1}{9}}{-\frac{7}{4}}|$$

Daliet \frac{1}{9} ar -\frac{7}{4}, reizinot \frac{1}{9} ar apgriezto daļskaitli -\frac{7}{4} .

$$-\frac{737}{2268}+\frac{5}{36}|-\frac{1}{9}\left(-\frac{4}{7}\right)|$$

Reiziniet \frac{1}{9} un -\frac{4}{7}, lai iegūtu -\frac{4}{63}.

$$-\frac{737}{2268}+\frac{5}{36}|-\left(-\frac{4}{63}\right)|$$

Skaitļa -\frac{4}{63} pretstats ir \frac{4}{63}.

$$-\frac{737}{2268}+\frac{5}{36}|\frac{4}{63}|$$

Reālā skaitļa a absolūtā vērtība ir a, ja a\geq 0, vai -a, ja a<0. \frac{4}{63} absolūtā vērtība ir \frac{4}{63}.

$$-\frac{737}{2268}+\frac{5}{36}\times \frac{4}{63}$$

Reiziniet \frac{5}{36} un \frac{4}{63}, lai iegūtu \frac{5}{567}.

$$-\frac{737}{2268}+\frac{5}{567}$$

Saskaitiet -\frac{737}{2268} un \frac{5}{567}, lai iegūtu -\frac{239}{756}.

$$-\frac{239}{756}$$

Sadalīt reizinātājos

$$-\frac{239}{756} = -0,31613756613756616$$