Whakaoti i te -5/4+5/2*[(-3/5)^2-(1/2)^4*(-3.2)]div(-2frac{4}{5})

$$- \frac { 5 } { 4 } + \frac { 5 } { 2 } \times [ ( - \frac { 3 } { 5 } ) ^ { 2 } - ( \frac { 1 } { 2 } ) ^ { 4 } \times ( - 3.2 ) ] \div ( - 2 \frac { 4 } { 5 } )$$

Aromātai

$$-1.75$$

Ngā Upane Otinga

Tātaihia te -\frac{3}{5} mā te pū o 2, kia riro ko \frac{9}{25}.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\left(\frac{1}{2}\right)^{4}\left(-3.2\right)\right)}{-\frac{2\times 5+4}{5}}$$

Tātaihia te \frac{1}{2} mā te pū o 4, kia riro ko \frac{1}{16}.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\frac{1}{16}\left(-3.2\right)\right)}{-\frac{2\times 5+4}{5}}$$

Me tahuri ki tau ā-ira -3.2 ki te hautau -\frac{32}{10}. Whakahekea te hautanga -\frac{32}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\frac{1}{16}\left(-\frac{16}{5}\right)\right)}{-\frac{2\times 5+4}{5}}$$

Me whakarea te \frac{1}{16} ki te -\frac{16}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\frac{1\left(-16\right)}{16\times 5}\right)}{-\frac{2\times 5+4}{5}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-16\right)}{16\times 5}.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\frac{-16}{80}\right)}{-\frac{2\times 5+4}{5}}$$

Whakahekea te hautanga \frac{-16}{80} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 16.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}-\left(-\frac{1}{5}\right)\right)}{-\frac{2\times 5+4}{5}}$$

Ko te tauaro o -\frac{1}{5} ko \frac{1}{5}.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}+\frac{1}{5}\right)}{-\frac{2\times 5+4}{5}}$$

Ko te maha noa iti rawa atu o 25 me 5 ko 25. Me tahuri \frac{9}{25} me \frac{1}{5} ki te hautau me te tautūnga 25.

$$-\frac{5}{4}+\frac{\frac{5}{2}\left(\frac{9}{25}+\frac{5}{25}\right)}{-\frac{2\times 5+4}{5}}$$

Tā te mea he rite te tauraro o \frac{9}{25} me \frac{5}{25}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{5}{4}+\frac{\frac{5}{2}\times \frac{9+5}{25}}{-\frac{2\times 5+4}{5}}$$

Tāpirihia te 9 ki te 5, ka 14.

$$-\frac{5}{4}+\frac{\frac{5}{2}\times \frac{14}{25}}{-\frac{2\times 5+4}{5}}$$

Me whakarea te \frac{5}{2} ki te \frac{14}{25} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{5}{4}+\frac{\frac{5\times 14}{2\times 25}}{-\frac{2\times 5+4}{5}}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 14}{2\times 25}.

$$-\frac{5}{4}+\frac{\frac{70}{50}}{-\frac{2\times 5+4}{5}}$$

Whakahekea te hautanga \frac{70}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$-\frac{5}{4}+\frac{\frac{7}{5}}{-\frac{2\times 5+4}{5}}$$

Whakareatia te 2 ki te 5, ka 10.

$$-\frac{5}{4}+\frac{\frac{7}{5}}{-\frac{10+4}{5}}$$

Tāpirihia te 10 ki te 4, ka 14.

$$-\frac{5}{4}+\frac{\frac{7}{5}}{-\frac{14}{5}}$$

Whakawehe \frac{7}{5} ki te -\frac{14}{5} mā te whakarea \frac{7}{5} ki te tau huripoki o -\frac{14}{5}.

$$-\frac{5}{4}+\frac{7}{5}\left(-\frac{5}{14}\right)$$

Me whakarea te \frac{7}{5} ki te -\frac{5}{14} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{5}{4}+\frac{7\left(-5\right)}{5\times 14}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\left(-5\right)}{5\times 14}.

$$-\frac{5}{4}+\frac{-35}{70}$$

Whakahekea te hautanga \frac{-35}{70} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 35.

$$-\frac{5}{4}-\frac{1}{2}$$

Ko te maha noa iti rawa atu o 4 me 2 ko 4. Me tahuri -\frac{5}{4} me \frac{1}{2} ki te hautau me te tautūnga 4.

$$-\frac{5}{4}-\frac{2}{4}$$

Tā te mea he rite te tauraro o -\frac{5}{4} me \frac{2}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-5-2}{4}$$

Tangohia te 2 i te -5, ka -7.

$$-\frac{7}{4}$$

Tauwehe

$$-1.75$$