Atrisiniet {[5/4-(-2+3/4)^2]:(5/4)^2-(-2)^3}:[43/5-(-frac{4}{5})^2*(2-frac{3}{4})]

$$\{ [ \frac { 5 } { 4 } - ( - 2 + \frac { 3 } { 4 } ) ^ { 2 } ] : ( \frac { 5 } { 4 } ) ^ { 2 } - ( - 2 ) ^ { 3 } \} : [ \frac { 43 } { 5 } - ( - \frac { 4 } { 5 } ) ^ { 2 } \cdot ( 2 - \frac { 3 } { 4 } ) ]$$

Izrēķināt

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Atrisinājuma darbības

Saskaitiet -2 un \frac{3}{4}, lai iegūtu -\frac{5}{4}.

$$\frac{\frac{\frac{5}{4}-\left(-\frac{5}{4}\right)^{2}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Aprēķiniet -\frac{5}{4} pakāpē 2 un iegūstiet \frac{25}{16}.

$$\frac{\frac{\frac{5}{4}-\frac{25}{16}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Atņemiet \frac{25}{16} no \frac{5}{4}, lai iegūtu -\frac{5}{16}.

$$\frac{\frac{-\frac{5}{16}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Aprēķiniet \frac{5}{4} pakāpē 2 un iegūstiet \frac{25}{16}.

$$\frac{\frac{-\frac{5}{16}}{\frac{25}{16}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Daliet -\frac{5}{16} ar \frac{25}{16}, reizinot -\frac{5}{16} ar apgriezto daļskaitli \frac{25}{16} .

$$\frac{-\frac{5}{16}\times \frac{16}{25}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Reiziniet -\frac{5}{16} un \frac{16}{25}, lai iegūtu -\frac{1}{5}.

$$\frac{-\frac{1}{5}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Aprēķiniet -2 pakāpē 3 un iegūstiet -8.

$$\frac{-\frac{1}{5}-\left(-8\right)}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Skaitļa -8 pretstats ir 8.

$$\frac{-\frac{1}{5}+8}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Saskaitiet -\frac{1}{5} un 8, lai iegūtu \frac{39}{5}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

Aprēķiniet -\frac{4}{5} pakāpē 2 un iegūstiet \frac{16}{25}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\frac{16}{25}\left(2-\frac{3}{4}\right)}$$

Atņemiet \frac{3}{4} no 2, lai iegūtu \frac{5}{4}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\frac{16}{25}\times \frac{5}{4}}$$

Reiziniet \frac{16}{25} un \frac{5}{4}, lai iegūtu \frac{4}{5}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\frac{4}{5}}$$

Atņemiet \frac{4}{5} no \frac{43}{5}, lai iegūtu \frac{39}{5}.

$$\frac{\frac{39}{5}}{\frac{39}{5}}$$

Daliet \frac{39}{5} ar \frac{39}{5}, lai iegūtu 1.

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Sadalīt reizinātājos

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