Lahenda ((2*3/9div3)^-2/(frac{9{4})^2*(2/5)^-1})^-1

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

Arvuta

$$\frac{5}{8}=0,625$$

Lahenduse etapid

Taandage murd \frac{3}{9} vähimale ühiskordsele, eraldades ja taandades arvu 3.

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

Korrutage 2 ja \frac{1}{3}, et leida \frac{2}{3}.

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

Avaldage \frac{\frac{2}{3}}{3} ühe murdarvuna.

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

Korrutage 3 ja 3, et leida 9.

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

Arvutage -2 aste \frac{2}{9} ja leidke \frac{81}{4}.

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

Arvutage 2 aste \frac{9}{4} ja leidke \frac{81}{16}.

$$\left(\frac{\frac{81}{4}}{\frac{81}{16}\times \left(\frac{2}{5}\right)^{-1}}\right)^{-1}$$

Arvutage -1 aste \frac{2}{5} ja leidke \frac{5}{2}.

$$\left(\frac{\frac{81}{4}}{\frac{81}{16}\times \frac{5}{2}}\right)^{-1}$$

Korrutage \frac{81}{16} ja \frac{5}{2}, et leida \frac{405}{32}.

$$\left(\frac{\frac{81}{4}}{\frac{405}{32}}\right)^{-1}$$

Jagage \frac{81}{4} väärtusega \frac{405}{32}, korrutades \frac{81}{4} väärtuse \frac{405}{32} pöördväärtusega.

$$\left(\frac{81}{4}\times \frac{32}{405}\right)^{-1}$$

Korrutage \frac{81}{4} ja \frac{32}{405}, et leida \frac{8}{5}.

$$\left(\frac{8}{5}\right)^{-1}$$

Arvutage -1 aste \frac{8}{5} ja leidke \frac{5}{8}.

$$\frac{5}{8}$$

Lahuta teguriteks

$$\frac{5}{2 ^ {3}} = 0,625$$