Atrisiniet ((23/9div3)^-2/94^2*frac{2/5})^-1

$$( \frac { ( 2 \frac { 3 } { 9 } \div 3 ) ^ { - 2 } } { \frac { 9 } { 4 } ^ { 2 } \cdot \frac { 2 } { 5 } } ) ^ { - 1 }$$

Izrēķināt

$$\frac{49}{40}=1,225$$

Atrisinājuma darbības

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

$$\left(\frac{\left(\frac{2\times 9+3}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Reiziniet 2 un 9, lai iegūtu 18.

$$\left(\frac{\left(\frac{18+3}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Saskaitiet 18 un 3, lai iegūtu 21.

$$\left(\frac{\left(\frac{21}{9\times 3}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Reiziniet 9 un 3, lai iegūtu 27.

$$\left(\frac{\left(\frac{21}{27}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

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

$$\left(\frac{\left(\frac{7}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

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

$$\left(\frac{\frac{81}{49}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

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

$$\left(\frac{\frac{81}{49}}{\frac{81}{16}\times \frac{2}{5}}\right)^{-1}$$

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

$$\left(\frac{\frac{81}{49}}{\frac{81}{40}}\right)^{-1}$$

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

$$\left(\frac{81}{49}\times \frac{40}{81}\right)^{-1}$$

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

$$\left(\frac{40}{49}\right)^{-1}$$

Aprēķiniet \frac{40}{49} pakāpē -1 un iegūstiet \frac{49}{40}.

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

Sadalīt reizinātājos

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 5} = 1\frac{9}{40} = 1,225$$