Lahenda ((2-3/9div3)^-2/94^2*frac{2/5})^-1

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

Arvuta

$$\frac{289}{40}=7,225$$

Lahenduse etapid

Avaldage \frac{\frac{3}{9}}{3} ühe murdarvuna.

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

Korrutage 9 ja 3, et leida 27.

$$\left(\frac{\left(2-\frac{3}{27}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Taandage murd \frac{3}{27} vähimale ühiskordsele, eraldades ja taandades arvu 3.

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

Lahutage \frac{1}{9} väärtusest 2, et leida \frac{17}{9}.

$$\left(\frac{\left(\frac{17}{9}\right)^{-2}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

Arvutage -2 aste \frac{17}{9} ja leidke \frac{81}{289}.

$$\left(\frac{\frac{81}{289}}{\left(\frac{9}{4}\right)^{2}\times \frac{2}{5}}\right)^{-1}$$

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

$$\left(\frac{\frac{81}{289}}{\frac{81}{16}\times \frac{2}{5}}\right)^{-1}$$

Korrutage \frac{81}{16} ja \frac{2}{5}, et leida \frac{81}{40}.

$$\left(\frac{\frac{81}{289}}{\frac{81}{40}}\right)^{-1}$$

Jagage \frac{81}{289} väärtusega \frac{81}{40}, korrutades \frac{81}{289} väärtuse \frac{81}{40} pöördväärtusega.

$$\left(\frac{81}{289}\times \frac{40}{81}\right)^{-1}$$

Korrutage \frac{81}{289} ja \frac{40}{81}, et leida \frac{40}{289}.

$$\left(\frac{40}{289}\right)^{-1}$$

Arvutage -1 aste \frac{40}{289} ja leidke \frac{289}{40}.

$$\frac{289}{40}$$

Lahuta teguriteks

$$\frac{17 ^ {2}}{2 ^ {3} \cdot 5} = 7\frac{9}{40} = 7,225$$