Lutasin ang 04-1/2+{left(frac{5/6right)}^-2}{{left(1/2^-1right)}^-1}+113410^-6/56710^-7-01^2-{left(frac{1-frac{1}{2}}{frac{-1}{4}-2}right)}^-1

$$\frac{ 04 \frac{ -1 }{ 2 } + { \left( \frac{ 5 }{ 6 } \right) }^{ -2 } }{ { \left( \frac{ 1 }{ { 2 }^{ -1 } } \right) }^{ -1 } } + \frac{ 1134 { 10 }^{ -6 } }{ 567 { 10 }^{ -7 } } { -01 }^{ 2 } - { \left( \frac{ 1- \frac{ 1 }{ 2 } }{ \frac{ -1 }{ 4 } -2 } \right) }^{ -1 }$$

I-evaluate

$$\frac{369}{50}=7.38$$

Mga Hakbang ng Solution

I-multiply ang 0 at 4 para makuha ang 0.

$$\frac{0\times \frac{-1}{2}+\left(\frac{5}{6}\right)^{-2}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Maaaring maisulat muli ang fraction na \frac{-1}{2} bilang -\frac{1}{2} sa pamamagitan ng pag-extract sa negative sign.

$$\frac{0\left(-\frac{1}{2}\right)+\left(\frac{5}{6}\right)^{-2}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-multiply ang 0 at -\frac{1}{2} para makuha ang 0.

$$\frac{0+\left(\frac{5}{6}\right)^{-2}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Kalkulahin ang \frac{5}{6} sa power ng -2 at kunin ang \frac{36}{25}.

$$\frac{0+\frac{36}{25}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Idagdag ang 0 at \frac{36}{25} para makuha ang \frac{36}{25}.

$$\frac{\frac{36}{25}}{\left(\frac{1}{2^{-1}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Kalkulahin ang 2 sa power ng -1 at kunin ang \frac{1}{2}.

$$\frac{\frac{36}{25}}{\left(\frac{1}{\frac{1}{2}}\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-divide ang 1 gamit ang \frac{1}{2} sa pamamagitan ng pagmu-multiply sa 1 gamit ang reciprocal ng \frac{1}{2}.

$$\frac{\frac{36}{25}}{\left(1\times 2\right)^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-multiply ang 1 at 2 para makuha ang 2.

$$\frac{\frac{36}{25}}{2^{-1}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Kalkulahin ang 2 sa power ng -1 at kunin ang \frac{1}{2}.

$$\frac{\frac{36}{25}}{\frac{1}{2}}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-divide ang \frac{36}{25} gamit ang \frac{1}{2} sa pamamagitan ng pagmu-multiply sa \frac{36}{25} gamit ang reciprocal ng \frac{1}{2}.

$$\frac{36}{25}\times 2+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-multiply ang \frac{36}{25} at 2 para makuha ang \frac{72}{25}.

$$\frac{72}{25}+\frac{1134\times 10^{-6}}{567\times 10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-cancel out ang 567 sa parehong numerator at denominator.

$$\frac{72}{25}+\frac{2\times 10^{-6}}{10^{-7}}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Para magi-divide ng mga power na may parehong base, i-subtract ang exponent ng denominator mula sa exponent ng numerator.

$$\frac{72}{25}+2\times 10^{1}\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Kalkulahin ang 10 sa power ng 1 at kunin ang 10.

$$\frac{72}{25}+2\times 10\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-multiply ang 2 at 10 para makuha ang 20.

$$\frac{72}{25}+20\times \left(0\times 1\right)^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-multiply ang 0 at 1 para makuha ang 0.

$$\frac{72}{25}+20\times 0^{2}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Kalkulahin ang 0 sa power ng 2 at kunin ang 0.

$$\frac{72}{25}+20\times 0-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-multiply ang 20 at 0 para makuha ang 0.

$$\frac{72}{25}+0-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Idagdag ang \frac{72}{25} at 0 para makuha ang \frac{72}{25}.

$$\frac{72}{25}-\left(\frac{1-\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

I-subtract ang \frac{1}{2} mula sa 1 para makuha ang \frac{1}{2}.

$$\frac{72}{25}-\left(\frac{\frac{1}{2}}{\frac{-1}{4}-2}\right)^{-1}$$

Maaaring maisulat muli ang fraction na \frac{-1}{4} bilang -\frac{1}{4} sa pamamagitan ng pag-extract sa negative sign.

$$\frac{72}{25}-\left(\frac{\frac{1}{2}}{-\frac{1}{4}-2}\right)^{-1}$$

I-subtract ang 2 mula sa -\frac{1}{4} para makuha ang -\frac{9}{4}.

$$\frac{72}{25}-\left(\frac{\frac{1}{2}}{-\frac{9}{4}}\right)^{-1}$$

I-divide ang \frac{1}{2} gamit ang -\frac{9}{4} sa pamamagitan ng pagmu-multiply sa \frac{1}{2} gamit ang reciprocal ng -\frac{9}{4}.

$$\frac{72}{25}-\left(\frac{1}{2}\left(-\frac{4}{9}\right)\right)^{-1}$$

I-multiply ang \frac{1}{2} at -\frac{4}{9} para makuha ang -\frac{2}{9}.

$$\frac{72}{25}-\left(-\frac{2}{9}\right)^{-1}$$

Kalkulahin ang -\frac{2}{9} sa power ng -1 at kunin ang -\frac{9}{2}.

$$\frac{72}{25}-\left(-\frac{9}{2}\right)$$

Ang kabaliktaran ng -\frac{9}{2} ay \frac{9}{2}.

$$\frac{72}{25}+\frac{9}{2}$$

Idagdag ang \frac{72}{25} at \frac{9}{2} para makuha ang \frac{369}{50}.

$$\frac{369}{50}$$

I-factor

$$\frac{3 ^ {2} \cdot 41}{2 \cdot 5 ^ {2}} = 7\frac{19}{50} = 7.38$$