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

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

Ebaluatu

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Ebazpidea

-\frac{5}{4} lortzeko, gehitu -2 eta \frac{3}{4}.

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

\frac{25}{16} lortzeko, egin -\frac{5}{4} ber 2.

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

-\frac{5}{16} lortzeko, \frac{5}{4} balioari kendu \frac{25}{16}.

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

\frac{25}{16} lortzeko, egin \frac{5}{4} ber 2.

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

Zatitu -\frac{5}{16} balioa \frac{25}{16} frakzioarekin, -\frac{5}{16} balioa \frac{25}{16} frakzioaren frakzio erreziprokoarekin biderkatuz.

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

-\frac{1}{5} lortzeko, biderkatu -\frac{5}{16} eta \frac{16}{25}.

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

-8 lortzeko, egin -2 ber 3.

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

-8 zenbakiaren aurkakoa 8 da.

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

\frac{39}{5} lortzeko, gehitu -\frac{1}{5} eta 8.

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

\frac{16}{25} lortzeko, egin -\frac{4}{5} ber 2.

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

\frac{5}{4} lortzeko, 2 balioari kendu \frac{3}{4}.

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

\frac{4}{5} lortzeko, biderkatu \frac{16}{25} eta \frac{5}{4}.

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

\frac{39}{5} lortzeko, \frac{43}{5} balioari kendu \frac{4}{5}.

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

1 lortzeko, zatitu \frac{39}{5} \frac{39}{5} balioarekin.

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Faktorizatu

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