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

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

Izrēķināt

$$-\frac{2153}{760}\approx -2,832894737$$

Atrisinājuma darbības

Reiziniet 1 un 5, lai iegūtu 5.

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

Saskaitiet 5 un 3, lai iegūtu 8.

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

Atņemiet \frac{8}{5} no 2, lai iegūtu \frac{2}{5}.

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

Aprēķiniet \frac{2}{5} pakāpē 2 un iegūstiet \frac{4}{25}.

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

Saskaitiet \frac{4}{25} un \frac{5}{8}, lai iegūtu \frac{157}{200}.

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

Atņemiet \frac{3}{4} no \frac{157}{200}, lai iegūtu \frac{7}{200}.

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

Reiziniet \frac{6}{5} un \frac{1}{3}, lai iegūtu \frac{2}{5}.

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

Aprēķiniet \frac{2}{5} pakāpē 4 un iegūstiet \frac{16}{625}.

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

Reiziniet 7 un 2, lai iegūtu 14.

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

Saskaitiet 14 un 1, lai iegūtu 15.

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

Aprēķiniet \frac{15}{2} pakāpē 3 un iegūstiet \frac{3375}{8}.

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

Reiziniet \frac{16}{625} un \frac{3375}{8}, lai iegūtu \frac{54}{5}.

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

Atņemiet \frac{54}{5} no \frac{7}{200}, lai iegūtu -\frac{2153}{200}.

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

Atņemiet \frac{6}{5} no 5, lai iegūtu \frac{19}{5}.

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

Daliet -\frac{2153}{200} ar \frac{19}{5}, reizinot -\frac{2153}{200} ar apgriezto daļskaitli \frac{19}{5} .

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

Reiziniet -\frac{2153}{200} un \frac{5}{19}, lai iegūtu -\frac{2153}{760}.

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

Sadalīt reizinātājos

$$-\frac{2153}{760} = -2\frac{633}{760} = -2,832894736842105$$