Whakaoti i te -1^4-(1-0.5)*2^3/3div[-2-(-3)^2]

$$- 1 ^ { 4 } - ( 1 - 0.5 ) \times \frac { 2 ^ { 3 } } { 3 } \div [ - 2 - ( - 3 ) ^ { 2 } ]$$

Aromātai

$$-\frac{29}{33}\approx -0.878787879$$

Ngā Upane Otinga

Tātaihia te 1 mā te pū o 4, kia riro ko 1.

$$-1-\frac{\left(1-0.5\right)\times \frac{2^{3}}{3}}{-2-\left(-3\right)^{2}}$$

Tangohia te 0.5 i te 1, ka 0.5.

$$-1-\frac{0.5\times \frac{2^{3}}{3}}{-2-\left(-3\right)^{2}}$$

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$-1-\frac{0.5\times \frac{8}{3}}{-2-\left(-3\right)^{2}}$$

Me tahuri ki tau ā-ira 0.5 ki te hautau \frac{5}{10}. Whakahekea te hautanga \frac{5}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$-1-\frac{\frac{1}{2}\times \frac{8}{3}}{-2-\left(-3\right)^{2}}$$

Me whakarea te \frac{1}{2} ki te \frac{8}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-1-\frac{\frac{1\times 8}{2\times 3}}{-2-\left(-3\right)^{2}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 8}{2\times 3}.

$$-1-\frac{\frac{8}{6}}{-2-\left(-3\right)^{2}}$$

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

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

Tātaihia te -3 mā te pū o 2, kia riro ko 9.

$$-1-\frac{\frac{4}{3}}{-2-9}$$

Tangohia te 9 i te -2, ka -11.

$$-1-\frac{\frac{4}{3}}{-11}$$

Tuhia te \frac{\frac{4}{3}}{-11} hei hautanga kotahi.

$$-1-\frac{4}{3\left(-11\right)}$$

Whakareatia te 3 ki te -11, ka -33.

$$-1-\frac{4}{-33}$$

Ka taea te hautanga \frac{4}{-33} te tuhi anō ko -\frac{4}{33} mā te tango i te tohu tōraro.

$$-1-\left(-\frac{4}{33}\right)$$

Ko te tauaro o -\frac{4}{33} ko \frac{4}{33}.

$$-1+\frac{4}{33}$$

Me tahuri te -1 ki te hautau -\frac{33}{33}.

$$-\frac{33}{33}+\frac{4}{33}$$

Tā te mea he rite te tauraro o -\frac{33}{33} me \frac{4}{33}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-33+4}{33}$$

Tāpirihia te -33 ki te 4, ka -29.

$$-\frac{29}{33}$$

Tauwehe

$$-\frac{29}{33} = -0.8787878787878788$$