Atrisiniet ((23/9div3)^-2/94^2*frac{2/5})

$$( \frac { ( 2 \frac { 3 } { 9 } \div 3 ) ^ { - 2 } } { \frac { 9 } { 4 } ^ { 2 } \cdot \frac { 2 } { 5 } } )$$

Izrēķināt

$$\frac{40}{49}\approx 0,816326531$$

Atrisinājuma darbības

Izsakiet \frac{\frac{2\times 9+3}{9}}{3} kā vienu daļskaitli.

$$\frac{\left(\frac{2\times 9+3}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Reiziniet 2 un 9, lai iegūtu 18.

$$\frac{\left(\frac{18+3}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Saskaitiet 18 un 3, lai iegūtu 21.

$$\frac{\left(\frac{21}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Reiziniet 9 un 3, lai iegūtu 27.

$$\frac{\left(\frac{21}{27}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Vienādot daļskaitli \frac{21}{27} līdz mazākajam loceklim, izvelkot un saīsinot 3.

$$\frac{\left(\frac{7}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Aprēķiniet \frac{7}{9} pakāpē -2 un iegūstiet \frac{81}{49}.

$$\frac{\frac{81}{49}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}$$

Aprēķiniet \frac{9}{4} pakāpē 2 un iegūstiet \frac{81}{16}.

$$\frac{\frac{81}{49}}{\frac{81}{16}\times \frac{2}{5}}$$

Reiziniet \frac{81}{16} un \frac{2}{5}, lai iegūtu \frac{81}{40}.

$$\frac{\frac{81}{49}}{\frac{81}{40}}$$

Daliet \frac{81}{49} ar \frac{81}{40}, reizinot \frac{81}{49} ar apgriezto daļskaitli \frac{81}{40} .

$$\frac{81}{49}\times \frac{40}{81}$$

Reiziniet \frac{81}{49} un \frac{40}{81}, lai iegūtu \frac{40}{49}.

$$\frac{40}{49}$$

Sadalīt reizinātājos

$$\frac{2 ^ {3} \cdot 5}{7 ^ {2}} = 0,8163265306122449$$