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

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

Evalwa

$$\frac{5}{8}=0.625$$

Passi tas-Soluzzjonijiet

Naqqas il-frazzjoni \frac{3}{9} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 3.

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

Immultiplika 2 u \frac{1}{3} biex tikseb \frac{2}{3}.

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

Esprimi \frac{\frac{2}{3}}{3} bħala frazzjoni waħda.

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

Immultiplika 3 u 3 biex tikseb 9.

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

Ikkalkula \frac{2}{9} bil-power ta' -2 u tikseb \frac{81}{4}.

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

Ikkalkula \frac{9}{4} bil-power ta' 2 u tikseb \frac{81}{16}.

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

Ikkalkula \frac{2}{5} bil-power ta' -1 u tikseb \frac{5}{2}.

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

Immultiplika \frac{81}{16} u \frac{5}{2} biex tikseb \frac{405}{32}.

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

Iddividi \frac{81}{4} b'\frac{405}{32} billi timmultiplika \frac{81}{4} bir-reċiproku ta' \frac{405}{32}.

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

Immultiplika \frac{81}{4} u \frac{32}{405} biex tikseb \frac{8}{5}.

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

Ikkalkula \frac{8}{5} bil-power ta' -1 u tikseb \frac{5}{8}.

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

Fattur

$$\frac{5}{2 ^ {3}} = 0.625$$