Lahenda (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}}

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

Arvuta

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

Lahenduse etapid

Lahutage \frac{1}{2} väärtusest 1, et leida \frac{1}{2}.

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

Arvutage 2 aste \frac{1}{2} ja leidke \frac{1}{4}.

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

Arvutage 3 aste -2 ja leidke -8.

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

Korrutage \frac{1}{4} ja -8, et leida -2.

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

Lahutage \frac{3}{2} väärtusest -2, et leida -\frac{7}{2}.

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

Arvutage 2 aste -\frac{1}{6} ja leidke \frac{1}{36}.

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

Lahutage \frac{1}{36} väärtusest -\frac{7}{2}, et leida -\frac{127}{36}.

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

Lahutage \frac{1}{5} väärtusest \frac{1}{4}, et leida \frac{1}{20}.

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

Lahutage \frac{2}{5} väärtusest 1, et leida \frac{3}{5}.

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

Arvutage 2 aste \frac{3}{5} ja leidke \frac{9}{25}.

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

Jagage \frac{1}{20} väärtusega \frac{9}{25}, korrutades \frac{1}{20} väärtuse \frac{9}{25} pöördväärtusega.

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

Korrutage \frac{1}{20} ja \frac{25}{9}, et leida \frac{5}{36}.

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

Lahutage \frac{2}{9} väärtusest \frac{1}{3}, et leida \frac{1}{9}.

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

Lahutage \frac{15}{8} väärtusest \frac{1}{8}, et leida -\frac{7}{4}.

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

Jagage \frac{1}{9} väärtusega -\frac{7}{4}, korrutades \frac{1}{9} väärtuse -\frac{7}{4} pöördväärtusega.

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

Korrutage \frac{1}{9} ja -\frac{4}{7}, et leida -\frac{4}{63}.

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

Arvu -\frac{4}{63} vastand on \frac{4}{63}.

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

Reaalarvu a absoluutväärtus on a, kui a\geq 0, või -a, kui a<0. \frac{4}{63} absoluutväärtus on \frac{4}{63}.

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

Korrutage \frac{5}{36} ja \frac{4}{63}, et leida \frac{5}{567}.

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

Liitke -\frac{127}{36} ja \frac{5}{567}, et leida -\frac{7981}{2268}.

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

Lahuta teguriteks

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