حل {[5/4-(-2+3/4)^2]:(5/4)^2-(-2)^3}:[43/5-(-frac{4}{5})^2*(2-frac{3}{4})]

$$\{ [ \frac { 5 } { 4 } - ( - 2 + \frac { 3 } { 4 } ) ^ { 2 } ] : ( \frac { 5 } { 4 } ) ^ { 2 } - ( - 2 ) ^ { 3 } \} : [ \frac { 43 } { 5 } - ( - \frac { 4 } { 5 } ) ^ { 2 } \cdot ( 2 - \frac { 3 } { 4 } ) ]$$

تقييم

$$1$$

خطوات الحل

اجمع -2 مع \frac{3}{4} لتحصل على -\frac{5}{4}.

$$\frac{\frac{\frac{5}{4}-\left(-\frac{5}{4}\right)^{2}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

احسب -\frac{5}{4} بالأس 2 لتحصل على \frac{25}{16}.

$$\frac{\frac{\frac{5}{4}-\frac{25}{16}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

اطرح \frac{25}{16} من \frac{5}{4} لتحصل على -\frac{5}{16}.

$$\frac{\frac{-\frac{5}{16}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

احسب \frac{5}{4} بالأس 2 لتحصل على \frac{25}{16}.

$$\frac{\frac{-\frac{5}{16}}{\frac{25}{16}}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

اقسم -\frac{5}{16} على \frac{25}{16} من خلال ضرب -\frac{5}{16} في مقلوب \frac{25}{16}.

$$\frac{-\frac{5}{16}\times \frac{16}{25}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

اضرب -\frac{5}{16} في \frac{16}{25} لتحصل على -\frac{1}{5}.

$$\frac{-\frac{1}{5}-\left(-2\right)^{3}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

احسب -2 بالأس 3 لتحصل على -8.

$$\frac{-\frac{1}{5}-\left(-8\right)}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

مقابل -8 هو 8.

$$\frac{-\frac{1}{5}+8}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

اجمع -\frac{1}{5} مع 8 لتحصل على \frac{39}{5}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\left(-\frac{4}{5}\right)^{2}\left(2-\frac{3}{4}\right)}$$

احسب -\frac{4}{5} بالأس 2 لتحصل على \frac{16}{25}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\frac{16}{25}\left(2-\frac{3}{4}\right)}$$

اطرح \frac{3}{4} من 2 لتحصل على \frac{5}{4}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\frac{16}{25}\times \frac{5}{4}}$$

اضرب \frac{16}{25} في \frac{5}{4} لتحصل على \frac{4}{5}.

$$\frac{\frac{39}{5}}{\frac{43}{5}-\frac{4}{5}}$$

اطرح \frac{4}{5} من \frac{43}{5} لتحصل على \frac{39}{5}.

$$\frac{\frac{39}{5}}{\frac{39}{5}}$$

اقسم \frac{39}{5} على \frac{39}{5} لتحصل على 1.

$$1$$

تحليل العوامل

$$1$$