Whakaoti i te (-1/2)^3-[(1/2)^2div(-1)-1/16]*(-2)div(-1)^2012

$$( - \frac { 1 } { 2 } ) ^ { 3 } - [ ( \frac { 1 } { 2 } ) ^ { 2 } \div ( - 1 ) - \frac { 1 } { 16 } ] \times ( - 2 ) \div ( - 1 ) ^ { 2012 }$$

Aromātai

$$-\frac{3}{4}=-0.75$$

Ngā Upane Otinga

Tātaihia te -\frac{1}{2} mā te pū o 3, kia riro ko -\frac{1}{8}.

$$-\frac{1}{8}-\frac{\left(\frac{\left(\frac{1}{2}\right)^{2}}{-1}-\frac{1}{16}\right)\left(-2\right)}{\left(-1\right)^{2012}}$$

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

$$-\frac{1}{8}-\frac{\left(\frac{\frac{1}{4}}{-1}-\frac{1}{16}\right)\left(-2\right)}{\left(-1\right)^{2012}}$$

Tuhia te \frac{\frac{1}{4}}{-1} hei hautanga kotahi.

$$-\frac{1}{8}-\frac{\left(\frac{1}{4\left(-1\right)}-\frac{1}{16}\right)\left(-2\right)}{\left(-1\right)^{2012}}$$

Whakareatia te 4 ki te -1, ka -4.

$$-\frac{1}{8}-\frac{\left(\frac{1}{-4}-\frac{1}{16}\right)\left(-2\right)}{\left(-1\right)^{2012}}$$

Ka taea te hautanga \frac{1}{-4} te tuhi anō ko -\frac{1}{4} mā te tango i te tohu tōraro.

$$-\frac{1}{8}-\frac{\left(-\frac{1}{4}-\frac{1}{16}\right)\left(-2\right)}{\left(-1\right)^{2012}}$$

Ko te maha noa iti rawa atu o 4 me 16 ko 16. Me tahuri -\frac{1}{4} me \frac{1}{16} ki te hautau me te tautūnga 16.

$$-\frac{1}{8}-\frac{\left(-\frac{4}{16}-\frac{1}{16}\right)\left(-2\right)}{\left(-1\right)^{2012}}$$

Tā te mea he rite te tauraro o -\frac{4}{16} me \frac{1}{16}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{1}{8}-\frac{\frac{-4-1}{16}\left(-2\right)}{\left(-1\right)^{2012}}$$

Tangohia te 1 i te -4, ka -5.

$$-\frac{1}{8}-\frac{-\frac{5}{16}\left(-2\right)}{\left(-1\right)^{2012}}$$

Tuhia te -\frac{5}{16}\left(-2\right) hei hautanga kotahi.

$$-\frac{1}{8}-\frac{\frac{-5\left(-2\right)}{16}}{\left(-1\right)^{2012}}$$

Whakareatia te -5 ki te -2, ka 10.

$$-\frac{1}{8}-\frac{\frac{10}{16}}{\left(-1\right)^{2012}}$$

Whakahekea te hautanga \frac{10}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{1}{8}-\frac{\frac{5}{8}}{\left(-1\right)^{2012}}$$

Tātaihia te -1 mā te pū o 2012, kia riro ko 1.

$$-\frac{1}{8}-\frac{\frac{5}{8}}{1}$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$-\frac{1}{8}-\frac{5}{8}$$

Tā te mea he rite te tauraro o -\frac{1}{8} me \frac{5}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-1-5}{8}$$

Tangohia te 5 i te -1, ka -6.

$$\frac{-6}{8}$$

Whakahekea te hautanga \frac{-6}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{3}{4}$$

Tauwehe

$$-\frac{3}{4} = -0.75$$