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-\frac{\left(\frac{10}{9}\right)^{2}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اجمع \frac{1}{3} مع \frac{7}{9} لتحصل على \frac{10}{9}.
-\frac{\frac{100}{81}}{\left(1-\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
احسب \frac{10}{9} بالأس 2 لتحصل على \frac{100}{81}.
-\frac{\frac{100}{81}}{\left(\frac{1}{2}\right)^{2}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اطرح \frac{1}{2} من 1 لتحصل على \frac{1}{2}.
-\frac{\frac{100}{81}}{\frac{1}{4}\left(-2\right)^{3}-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
احسب \frac{1}{2} بالأس 2 لتحصل على \frac{1}{4}.
-\frac{\frac{100}{81}}{\frac{1}{4}\left(-8\right)-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
احسب -2 بالأس 3 لتحصل على -8.
-\frac{\frac{100}{81}}{-2-\frac{3}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اضرب \frac{1}{4} في -8 لتحصل على -2.
-\frac{\frac{100}{81}}{-\frac{7}{2}}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اطرح \frac{3}{2} من -2 لتحصل على -\frac{7}{2}.
-\frac{100}{81}\left(-\frac{2}{7}\right)+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اقسم \frac{100}{81} على -\frac{7}{2} من خلال ضرب \frac{100}{81} في مقلوب -\frac{7}{2}.
-\left(-\frac{200}{567}\right)+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اضرب \frac{100}{81} في -\frac{2}{7} لتحصل على -\frac{200}{567}.
\frac{200}{567}+\left(-\left(-\frac{1}{6}\right)^{2}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
مقابل -\frac{200}{567} هو \frac{200}{567}.
\frac{200}{567}+\left(-\frac{1}{36}+\frac{\frac{1}{4}-\frac{1}{5}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
احسب -\frac{1}{6} بالأس 2 لتحصل على \frac{1}{36}.
\frac{200}{567}+\left(-\frac{1}{36}+\frac{\frac{1}{20}}{\left(1-\frac{2}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اطرح \frac{1}{5} من \frac{1}{4} لتحصل على \frac{1}{20}.
\frac{200}{567}+\left(-\frac{1}{36}+\frac{\frac{1}{20}}{\left(\frac{3}{5}\right)^{2}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اطرح \frac{2}{5} من 1 لتحصل على \frac{3}{5}.
\frac{200}{567}+\left(-\frac{1}{36}+\frac{\frac{1}{20}}{\frac{9}{25}}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
احسب \frac{3}{5} بالأس 2 لتحصل على \frac{9}{25}.
\frac{200}{567}+\left(-\frac{1}{36}+\frac{1}{20}\times \frac{25}{9}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اقسم \frac{1}{20} على \frac{9}{25} من خلال ضرب \frac{1}{20} في مقلوب \frac{9}{25}.
\frac{200}{567}+\left(-\frac{1}{36}+\frac{5}{36}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اضرب \frac{1}{20} في \frac{25}{9} لتحصل على \frac{5}{36}.
\frac{200}{567}+\left(\frac{1}{9}\right)^{2}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اجمع -\frac{1}{36} مع \frac{5}{36} لتحصل على \frac{1}{9}.
\frac{200}{567}+\frac{1}{81}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
احسب \frac{1}{9} بالأس 2 لتحصل على \frac{1}{81}.
\frac{23}{63}-\frac{\frac{1}{3}-\frac{2}{9}}{\frac{1}{8}-\frac{15}{8}}
اجمع \frac{200}{567} مع \frac{1}{81} لتحصل على \frac{23}{63}.
\frac{23}{63}-\frac{\frac{1}{9}}{\frac{1}{8}-\frac{15}{8}}
اطرح \frac{2}{9} من \frac{1}{3} لتحصل على \frac{1}{9}.
\frac{23}{63}-\frac{\frac{1}{9}}{-\frac{7}{4}}
اطرح \frac{15}{8} من \frac{1}{8} لتحصل على -\frac{7}{4}.
\frac{23}{63}-\frac{1}{9}\left(-\frac{4}{7}\right)
اقسم \frac{1}{9} على -\frac{7}{4} من خلال ضرب \frac{1}{9} في مقلوب -\frac{7}{4}.
\frac{23}{63}-\left(-\frac{4}{63}\right)
اضرب \frac{1}{9} في -\frac{4}{7} لتحصل على -\frac{4}{63}.
\frac{23}{63}+\frac{4}{63}
مقابل -\frac{4}{63} هو \frac{4}{63}.
\frac{3}{7}
اجمع \frac{23}{63} مع \frac{4}{63} لتحصل على \frac{3}{7}.