Issolvi (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}}=

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

Evalwa

$$-\frac{419}{126}\approx -3.325396825$$

Passi tas-Soluzzjonijiet

Naqqas \frac{1}{2} minn 1 biex tikseb \frac{1}{2}.

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

Ikkalkula \frac{1}{2} bil-power ta' 2 u tikseb \frac{1}{4}.

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

Ikkalkula -2 bil-power ta' 3 u tikseb -8.

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

Immultiplika \frac{1}{4} u -8 biex tikseb -2.

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

Naqqas \frac{3}{2} minn -2 biex tikseb -\frac{7}{2}.

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

Ikkalkula -\frac{1}{6} bil-power ta' 2 u tikseb \frac{1}{36}.

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

Naqqas \frac{1}{5} minn \frac{1}{4} biex tikseb \frac{1}{20}.

$$-\frac{7}{2}+|-\frac{1}{36}+\frac{\frac{1}{20}}{\left(1-\frac{2}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Naqqas \frac{2}{5} minn 1 biex tikseb \frac{3}{5}.

$$-\frac{7}{2}+|-\frac{1}{36}+\frac{\frac{1}{20}}{\left(\frac{3}{5}\right)^{2}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Ikkalkula \frac{3}{5} bil-power ta' 2 u tikseb \frac{9}{25}.

$$-\frac{7}{2}+|-\frac{1}{36}+\frac{\frac{1}{20}}{\frac{9}{25}}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Iddividi \frac{1}{20} b'\frac{9}{25} billi timmultiplika \frac{1}{20} bir-reċiproku ta' \frac{9}{25}.

$$-\frac{7}{2}+|-\frac{1}{36}+\frac{1}{20}\times \frac{25}{9}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Immultiplika \frac{1}{20} u \frac{25}{9} biex tikseb \frac{5}{36}.

$$-\frac{7}{2}+|-\frac{1}{36}+\frac{5}{36}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Żid -\frac{1}{36} u \frac{5}{36} biex tikseb \frac{1}{9}.

$$-\frac{7}{2}+|\frac{1}{9}|-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Il-valur assolut ta' numru reali a huwa a meta a\geq 0, jew -a meta a<0. Il-valur assolut ta' \frac{1}{9} huwa \frac{1}{9}.

$$-\frac{7}{2}+\frac{1}{9}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Żid -\frac{7}{2} u \frac{1}{9} biex tikseb -\frac{61}{18}.

$$-\frac{61}{18}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Naqqas \frac{2}{9} minn \frac{1}{3} biex tikseb \frac{1}{9}.

$$-\frac{61}{18}-\frac{\frac{1}{9}}{\frac{1}{8}-\frac{15}{8}}$$

Naqqas \frac{15}{8} minn \frac{1}{8} biex tikseb -\frac{7}{4}.

$$-\frac{61}{18}-\frac{\frac{1}{9}}{-\frac{7}{4}}$$

Iddividi \frac{1}{9} b'-\frac{7}{4} billi timmultiplika \frac{1}{9} bir-reċiproku ta' -\frac{7}{4}.

$$-\frac{61}{18}-\frac{1}{9}\left(-\frac{4}{7}\right)$$

Immultiplika \frac{1}{9} u -\frac{4}{7} biex tikseb -\frac{4}{63}.

$$-\frac{61}{18}-\left(-\frac{4}{63}\right)$$

L-oppost ta' -\frac{4}{63} huwa \frac{4}{63}.

$$-\frac{61}{18}+\frac{4}{63}$$

Żid -\frac{61}{18} u \frac{4}{63} biex tikseb -\frac{419}{126}.

$$-\frac{419}{126}$$

Fattur

$$-\frac{419}{126} = -3\frac{41}{126} = -3.3253968253968256$$