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

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

Luacháil

$$1$$

Céimeanna Réitigh

Suimigh -2 agus \frac{3}{4} chun -\frac{5}{4} a fháil.

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

Ríomh cumhacht -\frac{5}{4} de 2 agus faigh \frac{25}{16}.

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

Dealaigh \frac{25}{16} ó \frac{5}{4} chun -\frac{5}{16} a fháil.

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

Ríomh cumhacht \frac{5}{4} de 2 agus faigh \frac{25}{16}.

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

Roinn -\frac{5}{16} faoi \frac{25}{16} trí -\frac{5}{16} a mhéadú faoi dheilín \frac{25}{16}.

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

Méadaigh -\frac{5}{16} agus \frac{16}{25} chun -\frac{1}{5} a fháil.

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

Ríomh cumhacht -2 de 3 agus faigh -8.

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

Tá 8 urchomhairleach le -8.

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

Suimigh -\frac{1}{5} agus 8 chun \frac{39}{5} a fháil.

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

Ríomh cumhacht -\frac{4}{5} de 2 agus faigh \frac{16}{25}.

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

Dealaigh \frac{3}{4} ó 2 chun \frac{5}{4} a fháil.

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

Méadaigh \frac{16}{25} agus \frac{5}{4} chun \frac{4}{5} a fháil.

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

Dealaigh \frac{4}{5} ó \frac{43}{5} chun \frac{39}{5} a fháil.

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

Roinn \frac{39}{5} faoi \frac{39}{5} chun 1 a fháil.

$$1$$

Fachtóirigh

$$1$$