Atrisiniet 11/7:[(-3/2)^-1-(4/3-2)^2*(3/7-frac{3}{4})]

$$\frac { 11 } { 7 } : [ ( - \frac { 3 } { 2 } ) ^ { - 1 } - ( \frac { 4 } { 3 } - 2 ) ^ { 2 } \cdot ( \frac { 3 } { 7 } - \frac { 3 } { 4 } ) ]$$

Izrēķināt

$$-3$$

Atrisinājuma darbības

Aprēķiniet -\frac{3}{2} pakāpē -1 un iegūstiet -\frac{2}{3}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\left(\frac{4}{3}-2\right)^{2}\left(\frac{3}{7}-\frac{3}{4}\right)}$$

Atņemiet 2 no \frac{4}{3}, lai iegūtu -\frac{2}{3}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\left(-\frac{2}{3}\right)^{2}\left(\frac{3}{7}-\frac{3}{4}\right)}$$

Aprēķiniet -\frac{2}{3} pakāpē 2 un iegūstiet \frac{4}{9}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\frac{4}{9}\left(\frac{3}{7}-\frac{3}{4}\right)}$$

Atņemiet \frac{3}{4} no \frac{3}{7}, lai iegūtu -\frac{9}{28}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\frac{4}{9}\left(-\frac{9}{28}\right)}$$

Reiziniet \frac{4}{9} un -\frac{9}{28}, lai iegūtu -\frac{1}{7}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}-\left(-\frac{1}{7}\right)}$$

Skaitļa -\frac{1}{7} pretstats ir \frac{1}{7}.

$$\frac{\frac{11}{7}}{-\frac{2}{3}+\frac{1}{7}}$$

Saskaitiet -\frac{2}{3} un \frac{1}{7}, lai iegūtu -\frac{11}{21}.

$$\frac{\frac{11}{7}}{-\frac{11}{21}}$$

Daliet \frac{11}{7} ar -\frac{11}{21}, reizinot \frac{11}{7} ar apgriezto daļskaitli -\frac{11}{21} .

$$\frac{11}{7}\left(-\frac{21}{11}\right)$$

Reiziniet \frac{11}{7} un -\frac{21}{11}, lai iegūtu -3.

$$-3$$

Sadalīt reizinātājos

$$-3$$