Issolvi [(2-13/5)^2+(5/8-3/4)-(6/5*frac{1}{3})^4*(7frac{1}{2})^3]:(5-frac{6}{5})=

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

Evalwa

$$-\frac{2153}{760}\approx -2.832894737$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 5 biex tikseb 5.

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

Żid 5 u 3 biex tikseb 8.

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

Naqqas \frac{8}{5} minn 2 biex tikseb \frac{2}{5}.

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

Ikkalkula \frac{2}{5} bil-power ta' 2 u tikseb \frac{4}{25}.

$$\frac{\frac{4}{25}+\frac{5}{8}-\frac{3}{4}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Żid \frac{4}{25} u \frac{5}{8} biex tikseb \frac{157}{200}.

$$\frac{\frac{157}{200}-\frac{3}{4}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Naqqas \frac{3}{4} minn \frac{157}{200} biex tikseb \frac{7}{200}.

$$\frac{\frac{7}{200}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Immultiplika \frac{6}{5} u \frac{1}{3} biex tikseb \frac{2}{5}.

$$\frac{\frac{7}{200}-\left(\frac{2}{5}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Ikkalkula \frac{2}{5} bil-power ta' 4 u tikseb \frac{16}{625}.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Immultiplika 7 u 2 biex tikseb 14.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \left(\frac{14+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Żid 14 u 1 biex tikseb 15.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \left(\frac{15}{2}\right)^{3}}{5-\frac{6}{5}}$$

Ikkalkula \frac{15}{2} bil-power ta' 3 u tikseb \frac{3375}{8}.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \frac{3375}{8}}{5-\frac{6}{5}}$$

Immultiplika \frac{16}{625} u \frac{3375}{8} biex tikseb \frac{54}{5}.

$$\frac{\frac{7}{200}-\frac{54}{5}}{5-\frac{6}{5}}$$

Naqqas \frac{54}{5} minn \frac{7}{200} biex tikseb -\frac{2153}{200}.

$$\frac{-\frac{2153}{200}}{5-\frac{6}{5}}$$

Naqqas \frac{6}{5} minn 5 biex tikseb \frac{19}{5}.

$$\frac{-\frac{2153}{200}}{\frac{19}{5}}$$

Iddividi -\frac{2153}{200} b'\frac{19}{5} billi timmultiplika -\frac{2153}{200} bir-reċiproku ta' \frac{19}{5}.

$$-\frac{2153}{200}\times \frac{5}{19}$$

Immultiplika -\frac{2153}{200} u \frac{5}{19} biex tikseb -\frac{2153}{760}.

$$-\frac{2153}{760}$$

Fattur

$$-\frac{2153}{760} = -2\frac{633}{760} = -2.832894736842105$$